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Finding the Third Proportional to 427,012,408 and 932,323,952

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Solution

The third proportional to 427,012,408 and 932,323,952 is: 2,035,603,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,012,408 : 932,323,952 = 932,323,952 : x
  2. Step 2: Convert to fraction form
    427,012,408/932,323,952 = 932,323,952/x
  3. Step 3: Cross multiply
    427,012,408x = 932,323,952 × 932,323,952
  4. Step 4: Simplify right side
    427,012,408x = 869,227,951,472,898,304
  5. Step 5: Solve for x
    x = 869,227,951,472,898,304/427,012,408
  6. Step 6: Final answer
    x = 2,035,603,498.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.