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Finding the Third Proportional to 24,780,072 and 53,147,312

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Solution

The third proportional to 24,780,072 and 53,147,312 is: 113,988,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,780,072 : 53,147,312 = 53,147,312 : x
  2. Step 2: Convert to fraction form
    24,780,072/53,147,312 = 53,147,312/x
  3. Step 3: Cross multiply
    24,780,072x = 53,147,312 × 53,147,312
  4. Step 4: Simplify right side
    24,780,072x = 2,824,636,772,825,344
  5. Step 5: Solve for x
    x = 2,824,636,772,825,344/24,780,072
  6. Step 6: Final answer
    x = 113,988,239.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.