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Finding the Third Proportional to 424,824,325.50 and 656,103,008.63

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Solution

The third proportional to 424,824,325.50 and 656,103,008.63 is: 1,013,292,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,824,325.50 : 656,103,008.63 = 656,103,008.63 : x
  2. Step 2: Convert to fraction form
    424,824,325.50/656,103,008.63 = 656,103,008.63/x
  3. Step 3: Cross multiply
    424,824,325.50x = 656,103,008.63 × 656,103,008.63
  4. Step 4: Simplify right side
    424,824,325.50x = 430,471,157,926,776,832
  5. Step 5: Solve for x
    x = 430,471,157,926,776,832/424,824,325.50
  6. Step 6: Final answer
    x = 1,013,292,158.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.