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Finding the Third Proportional to 49,564,420 and 69,674,372

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Solution

The third proportional to 49,564,420 and 69,674,372 is: 97,943,607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,564,420 : 69,674,372 = 69,674,372 : x
  2. Step 2: Convert to fraction form
    49,564,420/69,674,372 = 69,674,372/x
  3. Step 3: Cross multiply
    49,564,420x = 69,674,372 × 69,674,372
  4. Step 4: Simplify right side
    49,564,420x = 4,854,518,113,594,384
  5. Step 5: Solve for x
    x = 4,854,518,113,594,384/49,564,420
  6. Step 6: Final answer
    x = 97,943,607.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.