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Finding the Third Proportional to 265,156,596 and 625,047,822

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Solution

The third proportional to 265,156,596 and 625,047,822 is: 1,473,411,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,156,596 : 625,047,822 = 625,047,822 : x
  2. Step 2: Convert to fraction form
    265,156,596/625,047,822 = 625,047,822/x
  3. Step 3: Cross multiply
    265,156,596x = 625,047,822 × 625,047,822
  4. Step 4: Simplify right side
    265,156,596x = 390,684,779,786,943,680
  5. Step 5: Solve for x
    x = 390,684,779,786,943,680/265,156,596
  6. Step 6: Final answer
    x = 1,473,411,507.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.