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Finding the Third Proportional to 48,461,400 and 71,931,184

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Solution

The third proportional to 48,461,400 and 71,931,184 is: 106,767,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,461,400 : 71,931,184 = 71,931,184 : x
  2. Step 2: Convert to fraction form
    48,461,400/71,931,184 = 71,931,184/x
  3. Step 3: Cross multiply
    48,461,400x = 71,931,184 × 71,931,184
  4. Step 4: Simplify right side
    48,461,400x = 5,174,095,231,641,856
  5. Step 5: Solve for x
    x = 5,174,095,231,641,856/48,461,400
  6. Step 6: Final answer
    x = 106,767,349.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.