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Finding the Third Proportional to 362,856,127 and 560,328,023

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Solution

The third proportional to 362,856,127 and 560,328,023 is: 865,267,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,856,127 : 560,328,023 = 560,328,023 : x
  2. Step 2: Convert to fraction form
    362,856,127/560,328,023 = 560,328,023/x
  3. Step 3: Cross multiply
    362,856,127x = 560,328,023 × 560,328,023
  4. Step 4: Simplify right side
    362,856,127x = 313,967,493,359,088,512
  5. Step 5: Solve for x
    x = 313,967,493,359,088,512/362,856,127
  6. Step 6: Final answer
    x = 865,267,167.89

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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.