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Finding the Third Proportional to 342,254,080 and 747,225,506

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Solution

The third proportional to 342,254,080 and 747,225,506 is: 1,631,378,526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,254,080 : 747,225,506 = 747,225,506 : x
  2. Step 2: Convert to fraction form
    342,254,080/747,225,506 = 747,225,506/x
  3. Step 3: Cross multiply
    342,254,080x = 747,225,506 × 747,225,506
  4. Step 4: Simplify right side
    342,254,080x = 558,345,956,816,956,032
  5. Step 5: Solve for x
    x = 558,345,956,816,956,032/342,254,080
  6. Step 6: Final answer
    x = 1,631,378,526.79

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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.