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Finding the Third Proportional to 962,384,700,994.80 and 2,064,475,266,269.60

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Solution

The third proportional to 962,384,700,994.80 and 2,064,475,266,269.60 is: 4,428,642,850,030.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,384,700,994.80 : 2,064,475,266,269.60 = 2,064,475,266,269.60 : x
  2. Step 2: Convert to fraction form
    962,384,700,994.80/2,064,475,266,269.60 = 2,064,475,266,269.60/x
  3. Step 3: Cross multiply
    962,384,700,994.80x = 2,064,475,266,269.60 × 2,064,475,266,269.60
  4. Step 4: Simplify right side
    962,384,700,994.80x = 4,262,058,125,038,936,070,815,744
  5. Step 5: Solve for x
    x = 4,262,058,125,038,936,070,815,744/962,384,700,994.80
  6. Step 6: Final answer
    x = 4,428,642,850,030.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.