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Finding the Third Proportional to 23,160,319 and 49,501,142

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Solution

The third proportional to 23,160,319 and 49,501,142 is: 105,800,056.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,160,319 : 49,501,142 = 49,501,142 : x
  2. Step 2: Convert to fraction form
    23,160,319/49,501,142 = 49,501,142/x
  3. Step 3: Cross multiply
    23,160,319x = 49,501,142 × 49,501,142
  4. Step 4: Simplify right side
    23,160,319x = 2,450,363,059,304,164
  5. Step 5: Solve for x
    x = 2,450,363,059,304,164/23,160,319
  6. Step 6: Final answer
    x = 105,800,056.52

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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.