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Finding the Third Proportional to 10,761,370,959 and 15,147,778,068.75

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Solution

The third proportional to 10,761,370,959 and 15,147,778,068.75 is: 21,322,114,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761,370,959 : 15,147,778,068.75 = 15,147,778,068.75 : x
  2. Step 2: Convert to fraction form
    10,761,370,959/15,147,778,068.75 = 15,147,778,068.75/x
  3. Step 3: Cross multiply
    10,761,370,959x = 15,147,778,068.75 × 15,147,778,068.75
  4. Step 4: Simplify right side
    10,761,370,959x = 229,455,180,420,103,471,104
  5. Step 5: Solve for x
    x = 229,455,180,420,103,471,104/10,761,370,959
  6. Step 6: Final answer
    x = 21,322,114,189.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.