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Finding the Third Proportional to 625,688,344 and 946,585,321

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Solution

The third proportional to 625,688,344 and 946,585,321 is: 1,432,060,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,688,344 : 946,585,321 = 946,585,321 : x
  2. Step 2: Convert to fraction form
    625,688,344/946,585,321 = 946,585,321/x
  3. Step 3: Cross multiply
    625,688,344x = 946,585,321 × 946,585,321
  4. Step 4: Simplify right side
    625,688,344x = 896,023,769,932,673,024
  5. Step 5: Solve for x
    x = 896,023,769,932,673,024/625,688,344
  6. Step 6: Final answer
    x = 1,432,060,831.12

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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.