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Finding the Third Proportional to 61,307,399 and 102,174,911

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Solution

The third proportional to 61,307,399 and 102,174,911 is: 170,284,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,307,399 : 102,174,911 = 102,174,911 : x
  2. Step 2: Convert to fraction form
    61,307,399/102,174,911 = 102,174,911/x
  3. Step 3: Cross multiply
    61,307,399x = 102,174,911 × 102,174,911
  4. Step 4: Simplify right side
    61,307,399x = 10,439,712,437,857,920
  5. Step 5: Solve for x
    x = 10,439,712,437,857,920/61,307,399
  6. Step 6: Final answer
    x = 170,284,706.38

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.