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Finding the Third Proportional to 323,862,880 and 705,229,280

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Solution

The third proportional to 323,862,880 and 705,229,280 is: 1,535,675,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,862,880 : 705,229,280 = 705,229,280 : x
  2. Step 2: Convert to fraction form
    323,862,880/705,229,280 = 705,229,280/x
  3. Step 3: Cross multiply
    323,862,880x = 705,229,280 × 705,229,280
  4. Step 4: Simplify right side
    323,862,880x = 497,348,337,369,318,400
  5. Step 5: Solve for x
    x = 497,348,337,369,318,400/323,862,880
  6. Step 6: Final answer
    x = 1,535,675,645.72

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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.