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Finding the Third Proportional to 30,074,798 and 48,424,809

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Solution

The third proportional to 30,074,798 and 48,424,809 is: 77,971,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,074,798 : 48,424,809 = 48,424,809 : x
  2. Step 2: Convert to fraction form
    30,074,798/48,424,809 = 48,424,809/x
  3. Step 3: Cross multiply
    30,074,798x = 48,424,809 × 48,424,809
  4. Step 4: Simplify right side
    30,074,798x = 2,344,962,126,686,481
  5. Step 5: Solve for x
    x = 2,344,962,126,686,481/30,074,798
  6. Step 6: Final answer
    x = 77,971,001.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.