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Finding the Third Proportional to 625,273,506 and 919,723,167

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Solution

The third proportional to 625,273,506 and 919,723,167 is: 1,352,833,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,273,506 : 919,723,167 = 919,723,167 : x
  2. Step 2: Convert to fraction form
    625,273,506/919,723,167 = 919,723,167/x
  3. Step 3: Cross multiply
    625,273,506x = 919,723,167 × 919,723,167
  4. Step 4: Simplify right side
    625,273,506x = 845,890,703,916,509,952
  5. Step 5: Solve for x
    x = 845,890,703,916,509,952/625,273,506
  6. Step 6: Final answer
    x = 1,352,833,113.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.