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Finding the Third Proportional to 34,746,349 and 75,543,399

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Solution

The third proportional to 34,746,349 and 75,543,399 is: 164,241,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,746,349 : 75,543,399 = 75,543,399 : x
  2. Step 2: Convert to fraction form
    34,746,349/75,543,399 = 75,543,399/x
  3. Step 3: Cross multiply
    34,746,349x = 75,543,399 × 75,543,399
  4. Step 4: Simplify right side
    34,746,349x = 5,706,805,132,473,201
  5. Step 5: Solve for x
    x = 5,706,805,132,473,201/34,746,349
  6. Step 6: Final answer
    x = 164,241,864.16

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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.