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Finding the Third Proportional to 9,113,746.13 and 21,513,856.13

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Solution

The third proportional to 9,113,746.13 and 21,513,856.13 is: 50,785,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113,746.13 : 21,513,856.13 = 21,513,856.13 : x
  2. Step 2: Convert to fraction form
    9,113,746.13/21,513,856.13 = 21,513,856.13/x
  3. Step 3: Cross multiply
    9,113,746.13x = 21,513,856.13 × 21,513,856.13
  4. Step 4: Simplify right side
    9,113,746.13x = 462,846,005,367,200
  5. Step 5: Solve for x
    x = 462,846,005,367,200/9,113,746.13
  6. Step 6: Final answer
    x = 50,785,483.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.