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Finding the Third Proportional to 334,579,138 and 724,743,068

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Solution

The third proportional to 334,579,138 and 724,743,068 is: 1,569,890,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,579,138 : 724,743,068 = 724,743,068 : x
  2. Step 2: Convert to fraction form
    334,579,138/724,743,068 = 724,743,068/x
  3. Step 3: Cross multiply
    334,579,138x = 724,743,068 × 724,743,068
  4. Step 4: Simplify right side
    334,579,138x = 525,252,514,614,052,608
  5. Step 5: Solve for x
    x = 525,252,514,614,052,608/334,579,138
  6. Step 6: Final answer
    x = 1,569,890,214.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.