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Finding the Third Proportional to 426,327,021 and 932,893,787.25

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Solution

The third proportional to 426,327,021 and 932,893,787.25 is: 2,041,369,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,327,021 : 932,893,787.25 = 932,893,787.25 : x
  2. Step 2: Convert to fraction form
    426,327,021/932,893,787.25 = 932,893,787.25/x
  3. Step 3: Cross multiply
    426,327,021x = 932,893,787.25 × 932,893,787.25
  4. Step 4: Simplify right side
    426,327,021x = 870,290,818,289,648,256
  5. Step 5: Solve for x
    x = 870,290,818,289,648,256/426,327,021
  6. Step 6: Final answer
    x = 2,041,369,126.10

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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.