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Finding the Third Proportional to 427,012,392 and 932,323,920

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Solution

The third proportional to 427,012,392 and 932,323,920 is: 2,035,603,434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,012,392 : 932,323,920 = 932,323,920 : x
  2. Step 2: Convert to fraction form
    427,012,392/932,323,920 = 932,323,920/x
  3. Step 3: Cross multiply
    427,012,392x = 932,323,920 × 932,323,920
  4. Step 4: Simplify right side
    427,012,392x = 869,227,891,804,166,400
  5. Step 5: Solve for x
    x = 869,227,891,804,166,400/427,012,392
  6. Step 6: Final answer
    x = 2,035,603,434.68

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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.