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Finding the Third Proportional to 34,740,376 and 74,251,490

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Solution

The third proportional to 34,740,376 and 74,251,490 is: 158,699,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,740,376 : 74,251,490 = 74,251,490 : x
  2. Step 2: Convert to fraction form
    34,740,376/74,251,490 = 74,251,490/x
  3. Step 3: Cross multiply
    34,740,376x = 74,251,490 × 74,251,490
  4. Step 4: Simplify right side
    34,740,376x = 5,513,283,767,220,100
  5. Step 5: Solve for x
    x = 5,513,283,767,220,100/34,740,376
  6. Step 6: Final answer
    x = 158,699,599.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.