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Finding the Third Proportional to 10,722,608,495 and 23,375,889,776

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Solution

The third proportional to 10,722,608,495 and 23,375,889,776 is: 50,960,754,845.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722,608,495 : 23,375,889,776 = 23,375,889,776 : x
  2. Step 2: Convert to fraction form
    10,722,608,495/23,375,889,776 = 23,375,889,776/x
  3. Step 3: Cross multiply
    10,722,608,495x = 23,375,889,776 × 23,375,889,776
  4. Step 4: Simplify right side
    10,722,608,495x = 546,432,222,819,701,358,592
  5. Step 5: Solve for x
    x = 546,432,222,819,701,358,592/10,722,608,495
  6. Step 6: Final answer
    x = 50,960,754,845.66

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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.