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Finding the Third Proportional to 625,689,616 and 946,587,536

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Solution

The third proportional to 625,689,616 and 946,587,536 is: 1,432,064,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,689,616 : 946,587,536 = 946,587,536 : x
  2. Step 2: Convert to fraction form
    625,689,616/946,587,536 = 946,587,536/x
  3. Step 3: Cross multiply
    625,689,616x = 946,587,536 × 946,587,536
  4. Step 4: Simplify right side
    625,689,616x = 896,027,963,310,551,296
  5. Step 5: Solve for x
    x = 896,027,963,310,551,296/625,689,616
  6. Step 6: Final answer
    x = 1,432,064,621.81

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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.