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Finding the Third Proportional to 962,384,700,995.40 and 2,064,475,266,271.40

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Solution

The third proportional to 962,384,700,995.40 and 2,064,475,266,271.40 is: 4,428,642,850,035.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,384,700,995.40 : 2,064,475,266,271.40 = 2,064,475,266,271.40 : x
  2. Step 2: Convert to fraction form
    962,384,700,995.40/2,064,475,266,271.40 = 2,064,475,266,271.40/x
  3. Step 3: Cross multiply
    962,384,700,995.40x = 2,064,475,266,271.40 × 2,064,475,266,271.40
  4. Step 4: Simplify right side
    962,384,700,995.40x = 4,262,058,125,046,367,437,979,648
  5. Step 5: Solve for x
    x = 4,262,058,125,046,367,437,979,648/962,384,700,995.40
  6. Step 6: Final answer
    x = 4,428,642,850,035.02

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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.