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Finding the Third Proportional to 3,146,569.50 and 6,864,531

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Solution

The third proportional to 3,146,569.50 and 6,864,531 is: 14,975,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146,569.50 : 6,864,531 = 6,864,531 : x
  2. Step 2: Convert to fraction form
    3,146,569.50/6,864,531 = 6,864,531/x
  3. Step 3: Cross multiply
    3,146,569.50x = 6,864,531 × 6,864,531
  4. Step 4: Simplify right side
    3,146,569.50x = 47,121,785,849,961
  5. Step 5: Solve for x
    x = 47,121,785,849,961/3,146,569.50
  6. Step 6: Final answer
    x = 14,975,606.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.