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Finding the Third Proportional to 4,169,864.81 and 9,136,891.13

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Solution

The third proportional to 4,169,864.81 and 9,136,891.13 is: 20,020,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169,864.81 : 9,136,891.13 = 9,136,891.13 : x
  2. Step 2: Convert to fraction form
    4,169,864.81/9,136,891.13 = 9,136,891.13/x
  3. Step 3: Cross multiply
    4,169,864.81x = 9,136,891.13 × 9,136,891.13
  4. Step 4: Simplify right side
    4,169,864.81x = 83,482,779,430,103.77
  5. Step 5: Solve for x
    x = 83,482,779,430,103.77/4,169,864.81
  6. Step 6: Final answer
    x = 20,020,500.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.