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Finding the Third Proportional to 45,688,425,741 and 100,202,787,414

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Solution

The third proportional to 45,688,425,741 and 100,202,787,414 is: 219,762,411,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,688,425,741 : 100,202,787,414 = 100,202,787,414 : x
  2. Step 2: Convert to fraction form
    45,688,425,741/100,202,787,414 = 100,202,787,414/x
  3. Step 3: Cross multiply
    45,688,425,741x = 100,202,787,414 × 100,202,787,414
  4. Step 4: Simplify right side
    45,688,425,741x = 10,040,598,605,535,276,695,552
  5. Step 5: Solve for x
    x = 10,040,598,605,535,276,695,552/45,688,425,741
  6. Step 6: Final answer
    x = 219,762,411,216.66

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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.