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Finding the Third Proportional to 15,231,770 and 32,971,444

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Solution

The third proportional to 15,231,770 and 32,971,444 is: 71,371,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,231,770 : 32,971,444 = 32,971,444 : x
  2. Step 2: Convert to fraction form
    15,231,770/32,971,444 = 32,971,444/x
  3. Step 3: Cross multiply
    15,231,770x = 32,971,444 × 32,971,444
  4. Step 4: Simplify right side
    15,231,770x = 1,087,116,119,445,136
  5. Step 5: Solve for x
    x = 1,087,116,119,445,136/15,231,770
  6. Step 6: Final answer
    x = 71,371,621.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.