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Finding the Third Proportional to 51,908,584 and 112,024,454

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Solution

The third proportional to 51,908,584 and 112,024,454 is: 241,761,137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,908,584 : 112,024,454 = 112,024,454 : x
  2. Step 2: Convert to fraction form
    51,908,584/112,024,454 = 112,024,454/x
  3. Step 3: Cross multiply
    51,908,584x = 112,024,454 × 112,024,454
  4. Step 4: Simplify right side
    51,908,584x = 12,549,478,293,998,116
  5. Step 5: Solve for x
    x = 12,549,478,293,998,116/51,908,584
  6. Step 6: Final answer
    x = 241,761,137.12

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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.