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Finding the Third Proportional to 35,715,550 and 77,519,706

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Solution

The third proportional to 35,715,550 and 77,519,706 is: 168,254,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,715,550 : 77,519,706 = 77,519,706 : x
  2. Step 2: Convert to fraction form
    35,715,550/77,519,706 = 77,519,706/x
  3. Step 3: Cross multiply
    35,715,550x = 77,519,706 × 77,519,706
  4. Step 4: Simplify right side
    35,715,550x = 6,009,304,818,326,436
  5. Step 5: Solve for x
    x = 6,009,304,818,326,436/35,715,550
  6. Step 6: Final answer
    x = 168,254,578.70

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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.