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Finding the Third Proportional to 4,103,206,701.75 and 9,676,501,224.75

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Solution

The third proportional to 4,103,206,701.75 and 9,676,501,224.75 is: 22,819,877,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103,206,701.75 : 9,676,501,224.75 = 9,676,501,224.75 : x
  2. Step 2: Convert to fraction form
    4,103,206,701.75/9,676,501,224.75 = 9,676,501,224.75/x
  3. Step 3: Cross multiply
    4,103,206,701.75x = 9,676,501,224.75 × 9,676,501,224.75
  4. Step 4: Simplify right side
    4,103,206,701.75x = 93,634,675,952,588,242,944
  5. Step 5: Solve for x
    x = 93,634,675,952,588,242,944/4,103,206,701.75
  6. Step 6: Final answer
    x = 22,819,877,904.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.