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Finding the Third Proportional to 424,895,194.50 and 914,360,460

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Solution

The third proportional to 424,895,194.50 and 914,360,460 is: 1,967,673,585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,895,194.50 : 914,360,460 = 914,360,460 : x
  2. Step 2: Convert to fraction form
    424,895,194.50/914,360,460 = 914,360,460/x
  3. Step 3: Cross multiply
    424,895,194.50x = 914,360,460 × 914,360,460
  4. Step 4: Simplify right side
    424,895,194.50x = 836,055,050,811,411,584
  5. Step 5: Solve for x
    x = 836,055,050,811,411,584/424,895,194.50
  6. Step 6: Final answer
    x = 1,967,673,585.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.