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Finding the Third Proportional to 790,691,655.38 and 1,156,931,507.53

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Solution

The third proportional to 790,691,655.38 and 1,156,931,507.53 is: 1,692,809,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,691,655.38 : 1,156,931,507.53 = 1,156,931,507.53 : x
  2. Step 2: Convert to fraction form
    790,691,655.38/1,156,931,507.53 = 1,156,931,507.53/x
  3. Step 3: Cross multiply
    790,691,655.38x = 1,156,931,507.53 × 1,156,931,507.53
  4. Step 4: Simplify right side
    790,691,655.38x = 1,338,490,513,118,414,848
  5. Step 5: Solve for x
    x = 1,338,490,513,118,414,848/790,691,655.38
  6. Step 6: Final answer
    x = 1,692,809,711.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.