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Finding the Third Proportional to 15,224,436 and 32,825,503.13

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Solution

The third proportional to 15,224,436 and 32,825,503.13 is: 70,775,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,224,436 : 32,825,503.13 = 32,825,503.13 : x
  2. Step 2: Convert to fraction form
    15,224,436/32,825,503.13 = 32,825,503.13/x
  3. Step 3: Cross multiply
    15,224,436x = 32,825,503.13 × 32,825,503.13
  4. Step 4: Simplify right side
    15,224,436x = 1,077,513,655,409,384.75
  5. Step 5: Solve for x
    x = 1,077,513,655,409,384.75/15,224,436
  6. Step 6: Final answer
    x = 70,775,275.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.