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Finding the Third Proportional to 10,279,241,415 and 13,869,110,162.25

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Solution

The third proportional to 10,279,241,415 and 13,869,110,162.25 is: 18,712,685,978.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279,241,415 : 13,869,110,162.25 = 13,869,110,162.25 : x
  2. Step 2: Convert to fraction form
    10,279,241,415/13,869,110,162.25 = 13,869,110,162.25/x
  3. Step 3: Cross multiply
    10,279,241,415x = 13,869,110,162.25 × 13,869,110,162.25
  4. Step 4: Simplify right side
    10,279,241,415x = 192,352,216,692,626,227,200
  5. Step 5: Solve for x
    x = 192,352,216,692,626,227,200/10,279,241,415
  6. Step 6: Final answer
    x = 18,712,685,978.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.