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Finding the Third Proportional to 427,012,404 and 932,323,944

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Solution

The third proportional to 427,012,404 and 932,323,944 is: 2,035,603,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,012,404 : 932,323,944 = 932,323,944 : x
  2. Step 2: Convert to fraction form
    427,012,404/932,323,944 = 932,323,944/x
  3. Step 3: Cross multiply
    427,012,404x = 932,323,944 × 932,323,944
  4. Step 4: Simplify right side
    427,012,404x = 869,227,936,555,715,072
  5. Step 5: Solve for x
    x = 869,227,936,555,715,072/427,012,404
  6. Step 6: Final answer
    x = 2,035,603,482.27

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