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Finding the Third Proportional to 1,657,262,948.51 and 3,590,368,168.33

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Solution

The third proportional to 1,657,262,948.51 and 3,590,368,168.33 is: 7,778,333,302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,262,948.51 : 3,590,368,168.33 = 3,590,368,168.33 : x
  2. Step 2: Convert to fraction form
    1,657,262,948.51/3,590,368,168.33 = 3,590,368,168.33/x
  3. Step 3: Cross multiply
    1,657,262,948.51x = 3,590,368,168.33 × 3,590,368,168.33
  4. Step 4: Simplify right side
    1,657,262,948.51x = 12,890,743,584,181,731,328
  5. Step 5: Solve for x
    x = 12,890,743,584,181,731,328/1,657,262,948.51
  6. Step 6: Final answer
    x = 7,778,333,302.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.