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Finding the Third Proportional to 14,541,264 and 31,505,931

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Solution

The third proportional to 14,541,264 and 31,505,931 is: 68,262,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,541,264 : 31,505,931 = 31,505,931 : x
  2. Step 2: Convert to fraction form
    14,541,264/31,505,931 = 31,505,931/x
  3. Step 3: Cross multiply
    14,541,264x = 31,505,931 × 31,505,931
  4. Step 4: Simplify right side
    14,541,264x = 992,623,688,176,761
  5. Step 5: Solve for x
    x = 992,623,688,176,761/14,541,264
  6. Step 6: Final answer
    x = 68,262,545.00

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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.