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Finding the Third Proportional to 625,689,090 and 946,586,662

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Solution

The third proportional to 625,689,090 and 946,586,662 is: 1,432,063,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,689,090 : 946,586,662 = 946,586,662 : x
  2. Step 2: Convert to fraction form
    625,689,090/946,586,662 = 946,586,662/x
  3. Step 3: Cross multiply
    625,689,090x = 946,586,662 × 946,586,662
  4. Step 4: Simplify right side
    625,689,090x = 896,026,308,676,302,208
  5. Step 5: Solve for x
    x = 896,026,308,676,302,208/625,689,090
  6. Step 6: Final answer
    x = 1,432,063,181.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.