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Finding the Third Proportional to 29,707,257 and 45,443,607

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Solution

The third proportional to 29,707,257 and 45,443,607 is: 69,515,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,707,257 : 45,443,607 = 45,443,607 : x
  2. Step 2: Convert to fraction form
    29,707,257/45,443,607 = 45,443,607/x
  3. Step 3: Cross multiply
    29,707,257x = 45,443,607 × 45,443,607
  4. Step 4: Simplify right side
    29,707,257x = 2,065,121,417,170,449
  5. Step 5: Solve for x
    x = 2,065,121,417,170,449/29,707,257
  6. Step 6: Final answer
    x = 69,515,721.94

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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.