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Finding the Third Proportional to 723,466,540 and 1,569,430,244

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Solution

The third proportional to 723,466,540 and 1,569,430,244 is: 3,404,596,003.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,466,540 : 1,569,430,244 = 1,569,430,244 : x
  2. Step 2: Convert to fraction form
    723,466,540/1,569,430,244 = 1,569,430,244/x
  3. Step 3: Cross multiply
    723,466,540x = 1,569,430,244 × 1,569,430,244
  4. Step 4: Simplify right side
    723,466,540x = 2,463,111,290,781,899,776
  5. Step 5: Solve for x
    x = 2,463,111,290,781,899,776/723,466,540
  6. Step 6: Final answer
    x = 3,404,596,003.54

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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.