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Finding the Third Proportional to 40,917,741 and 87,509,044.50

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Solution

The third proportional to 40,917,741 and 87,509,044.50 is: 187,151,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,917,741 : 87,509,044.50 = 87,509,044.50 : x
  2. Step 2: Convert to fraction form
    40,917,741/87,509,044.50 = 87,509,044.50/x
  3. Step 3: Cross multiply
    40,917,741x = 87,509,044.50 × 87,509,044.50
  4. Step 4: Simplify right side
    40,917,741x = 7,657,832,869,302,980
  5. Step 5: Solve for x
    x = 7,657,832,869,302,980/40,917,741
  6. Step 6: Final answer
    x = 187,151,897.49

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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.