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Finding the Third Proportional to 35,623,862 and 77,806,536

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Solution

The third proportional to 35,623,862 and 77,806,536 is: 169,938,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,623,862 : 77,806,536 = 77,806,536 : x
  2. Step 2: Convert to fraction form
    35,623,862/77,806,536 = 77,806,536/x
  3. Step 3: Cross multiply
    35,623,862x = 77,806,536 × 77,806,536
  4. Step 4: Simplify right side
    35,623,862x = 6,053,857,044,319,296
  5. Step 5: Solve for x
    x = 6,053,857,044,319,296/35,623,862
  6. Step 6: Final answer
    x = 169,938,257.80

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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.