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Finding the Third Proportional to 932,857,438 and 2,041,445,564

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Solution

The third proportional to 932,857,438 and 2,041,445,564 is: 4,467,456,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,857,438 : 2,041,445,564 = 2,041,445,564 : x
  2. Step 2: Convert to fraction form
    932,857,438/2,041,445,564 = 2,041,445,564/x
  3. Step 3: Cross multiply
    932,857,438x = 2,041,445,564 × 2,041,445,564
  4. Step 4: Simplify right side
    932,857,438x = 4,167,499,990,775,278,080
  5. Step 5: Solve for x
    x = 4,167,499,990,775,278,080/932,857,438
  6. Step 6: Final answer
    x = 4,467,456,463.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.