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Finding the Third Proportional to 5,280,494,741 and 11,190,547,778

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Solution

The third proportional to 5,280,494,741 and 11,190,547,778 is: 23,715,270,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,494,741 : 11,190,547,778 = 11,190,547,778 : x
  2. Step 2: Convert to fraction form
    5,280,494,741/11,190,547,778 = 11,190,547,778/x
  3. Step 3: Cross multiply
    5,280,494,741x = 11,190,547,778 × 11,190,547,778
  4. Step 4: Simplify right side
    5,280,494,741x = 125,228,359,571,700,744,192
  5. Step 5: Solve for x
    x = 125,228,359,571,700,744,192/5,280,494,741
  6. Step 6: Final answer
    x = 23,715,270,199.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.