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Finding the Third Proportional to 31,164,375 and 46,572,139.13

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Solution

The third proportional to 31,164,375 and 46,572,139.13 is: 69,597,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164,375 : 46,572,139.13 = 46,572,139.13 : x
  2. Step 2: Convert to fraction form
    31,164,375/46,572,139.13 = 46,572,139.13/x
  3. Step 3: Cross multiply
    31,164,375x = 46,572,139.13 × 46,572,139.13
  4. Step 4: Simplify right side
    31,164,375x = 2,168,964,142,678,355.75
  5. Step 5: Solve for x
    x = 2,168,964,142,678,355.75/31,164,375
  6. Step 6: Final answer
    x = 69,597,549.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.