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Finding the Third Proportional to 11,356,020,706 and 24,711,695,973

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Solution

The third proportional to 11,356,020,706 and 24,711,695,973 is: 53,774,815,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356,020,706 : 24,711,695,973 = 24,711,695,973 : x
  2. Step 2: Convert to fraction form
    11,356,020,706/24,711,695,973 = 24,711,695,973/x
  3. Step 3: Cross multiply
    11,356,020,706x = 24,711,695,973 × 24,711,695,973
  4. Step 4: Simplify right side
    11,356,020,706x = 610,667,917,861,984,403,456
  5. Step 5: Solve for x
    x = 610,667,917,861,984,403,456/11,356,020,706
  6. Step 6: Final answer
    x = 53,774,815,463.25

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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.