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Finding the Third Proportional to 24,242,114 and 53,865,328

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Solution

The third proportional to 24,242,114 and 53,865,328 is: 119,687,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,242,114 : 53,865,328 = 53,865,328 : x
  2. Step 2: Convert to fraction form
    24,242,114/53,865,328 = 53,865,328/x
  3. Step 3: Cross multiply
    24,242,114x = 53,865,328 × 53,865,328
  4. Step 4: Simplify right side
    24,242,114x = 2,901,473,560,547,584
  5. Step 5: Solve for x
    x = 2,901,473,560,547,584/24,242,114
  6. Step 6: Final answer
    x = 119,687,316.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.