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Finding the Third Proportional to 9,884,040.19 and 20,249,767.13

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Solution

The third proportional to 9,884,040.19 and 20,249,767.13 is: 41,486,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884,040.19 : 20,249,767.13 = 20,249,767.13 : x
  2. Step 2: Convert to fraction form
    9,884,040.19/20,249,767.13 = 20,249,767.13/x
  3. Step 3: Cross multiply
    9,884,040.19x = 20,249,767.13 × 20,249,767.13
  4. Step 4: Simplify right side
    9,884,040.19x = 410,053,068,616,730.75
  5. Step 5: Solve for x
    x = 410,053,068,616,730.75/9,884,040.19
  6. Step 6: Final answer
    x = 41,486,382.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.