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Finding the Third Proportional to 932,356,096 and 1,398,191,784

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Solution

The third proportional to 932,356,096 and 1,398,191,784 is: 2,096,774,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,356,096 : 1,398,191,784 = 1,398,191,784 : x
  2. Step 2: Convert to fraction form
    932,356,096/1,398,191,784 = 1,398,191,784/x
  3. Step 3: Cross multiply
    932,356,096x = 1,398,191,784 × 1,398,191,784
  4. Step 4: Simplify right side
    932,356,096x = 1,954,940,264,845,102,592
  5. Step 5: Solve for x
    x = 1,954,940,264,845,102,592/932,356,096
  6. Step 6: Final answer
    x = 2,096,774,261.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.