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Finding the Third Proportional to 1,547,448,471 and 3,398,897,268

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Solution

The third proportional to 1,547,448,471 and 3,398,897,268 is: 7,465,516,852.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547,448,471 : 3,398,897,268 = 3,398,897,268 : x
  2. Step 2: Convert to fraction form
    1,547,448,471/3,398,897,268 = 3,398,897,268/x
  3. Step 3: Cross multiply
    1,547,448,471x = 3,398,897,268 × 3,398,897,268
  4. Step 4: Simplify right side
    1,547,448,471x = 11,552,502,638,417,864,704
  5. Step 5: Solve for x
    x = 11,552,502,638,417,864,704/1,547,448,471
  6. Step 6: Final answer
    x = 7,465,516,852.37

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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.