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Finding the Third Proportional to 51,736,822 and 112,659,045

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Solution

The third proportional to 51,736,822 and 112,659,045 is: 245,319,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,736,822 : 112,659,045 = 112,659,045 : x
  2. Step 2: Convert to fraction form
    51,736,822/112,659,045 = 112,659,045/x
  3. Step 3: Cross multiply
    51,736,822x = 112,659,045 × 112,659,045
  4. Step 4: Simplify right side
    51,736,822x = 12,692,060,420,312,024
  5. Step 5: Solve for x
    x = 12,692,060,420,312,024/51,736,822
  6. Step 6: Final answer
    x = 245,319,676.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.