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Finding the Third Proportional to 625,688,802 and 946,586,101.50

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Solution

The third proportional to 625,688,802 and 946,586,101.50 is: 1,432,062,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,688,802 : 946,586,101.50 = 946,586,101.50 : x
  2. Step 2: Convert to fraction form
    625,688,802/946,586,101.50 = 946,586,101.50/x
  3. Step 3: Cross multiply
    625,688,802x = 946,586,101.50 × 946,586,101.50
  4. Step 4: Simplify right side
    625,688,802x = 896,025,247,552,968,320
  5. Step 5: Solve for x
    x = 896,025,247,552,968,320/625,688,802
  6. Step 6: Final answer
    x = 1,432,062,144.45

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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.