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Finding the Third Proportional to 11,356,020,701.50 and 24,711,695,962.50

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Solution

The third proportional to 11,356,020,701.50 and 24,711,695,962.50 is: 53,774,815,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356,020,701.50 : 24,711,695,962.50 = 24,711,695,962.50 : x
  2. Step 2: Convert to fraction form
    11,356,020,701.50/24,711,695,962.50 = 24,711,695,962.50/x
  3. Step 3: Cross multiply
    11,356,020,701.50x = 24,711,695,962.50 × 24,711,695,962.50
  4. Step 4: Simplify right side
    11,356,020,701.50x = 610,667,917,343,038,767,104
  5. Step 5: Solve for x
    x = 610,667,917,343,038,767,104/11,356,020,701.50
  6. Step 6: Final answer
    x = 53,774,815,438.86

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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.