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Finding the Third Proportional to 35,623,853 and 77,806,519

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Solution

The third proportional to 35,623,853 and 77,806,519 is: 169,938,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,623,853 : 77,806,519 = 77,806,519 : x
  2. Step 2: Convert to fraction form
    35,623,853/77,806,519 = 77,806,519/x
  3. Step 3: Cross multiply
    35,623,853x = 77,806,519 × 77,806,519
  4. Step 4: Simplify right side
    35,623,853x = 6,053,854,398,897,361
  5. Step 5: Solve for x
    x = 6,053,854,398,897,361/35,623,853
  6. Step 6: Final answer
    x = 169,938,226.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.