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Finding the Third Proportional to 23,734,443,520 and 49,422,132,608

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Solution

The third proportional to 23,734,443,520 and 49,422,132,608 is: 102,911,500,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,734,443,520 : 49,422,132,608 = 49,422,132,608 : x
  2. Step 2: Convert to fraction form
    23,734,443,520/49,422,132,608 = 49,422,132,608/x
  3. Step 3: Cross multiply
    23,734,443,520x = 49,422,132,608 × 49,422,132,608
  4. Step 4: Simplify right side
    23,734,443,520x = 2,442,547,191,522,736,996,352
  5. Step 5: Solve for x
    x = 2,442,547,191,522,736,996,352/23,734,443,520
  6. Step 6: Final answer
    x = 102,911,500,303.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.