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Finding the Third Proportional to 307,996,637.63 and 469,752,522.61

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Solution

The third proportional to 307,996,637.63 and 469,752,522.61 is: 716,460,524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,996,637.63 : 469,752,522.61 = 469,752,522.61 : x
  2. Step 2: Convert to fraction form
    307,996,637.63/469,752,522.61 = 469,752,522.61/x
  3. Step 3: Cross multiply
    307,996,637.63x = 469,752,522.61 × 469,752,522.61
  4. Step 4: Simplify right side
    307,996,637.63x = 220,667,432,497,876,064
  5. Step 5: Solve for x
    x = 220,667,432,497,876,064/307,996,637.63
  6. Step 6: Final answer
    x = 716,460,524.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.