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Finding the Third Proportional to 342,254,082 and 747,225,510

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Solution

The third proportional to 342,254,082 and 747,225,510 is: 1,631,378,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,254,082 : 747,225,510 = 747,225,510 : x
  2. Step 2: Convert to fraction form
    342,254,082/747,225,510 = 747,225,510/x
  3. Step 3: Cross multiply
    342,254,082x = 747,225,510 × 747,225,510
  4. Step 4: Simplify right side
    342,254,082x = 558,345,962,794,760,128
  5. Step 5: Solve for x
    x = 558,345,962,794,760,128/342,254,082
  6. Step 6: Final answer
    x = 1,631,378,534.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.