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Finding the Third Proportional to 1,547,448,473 and 3,398,897,272

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Solution

The third proportional to 1,547,448,473 and 3,398,897,272 is: 7,465,516,860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547,448,473 : 3,398,897,272 = 3,398,897,272 : x
  2. Step 2: Convert to fraction form
    1,547,448,473/3,398,897,272 = 3,398,897,272/x
  3. Step 3: Cross multiply
    1,547,448,473x = 3,398,897,272 × 3,398,897,272
  4. Step 4: Simplify right side
    1,547,448,473x = 11,552,502,665,609,041,920
  5. Step 5: Solve for x
    x = 11,552,502,665,609,041,920/1,547,448,473
  6. Step 6: Final answer
    x = 7,465,516,860.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.