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Finding the Third Proportional to 251,659,681,909 and 552,041,974,192

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Solution

The third proportional to 251,659,681,909 and 552,041,974,192 is: 1,210,962,117,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,659,681,909 : 552,041,974,192 = 552,041,974,192 : x
  2. Step 2: Convert to fraction form
    251,659,681,909/552,041,974,192 = 552,041,974,192/x
  3. Step 3: Cross multiply
    251,659,681,909x = 552,041,974,192 × 552,041,974,192
  4. Step 4: Simplify right side
    251,659,681,909x = 304,750,341,269,800,762,736,640
  5. Step 5: Solve for x
    x = 304,750,341,269,800,762,736,640/251,659,681,909
  6. Step 6: Final answer
    x = 1,210,962,117,404.24

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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.