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Finding the Third Proportional to 10,235,555,546 and 15,725,799,843

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Solution

The third proportional to 10,235,555,546 and 15,725,799,843 is: 24,160,953,412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235,555,546 : 15,725,799,843 = 15,725,799,843 : x
  2. Step 2: Convert to fraction form
    10,235,555,546/15,725,799,843 = 15,725,799,843/x
  3. Step 3: Cross multiply
    10,235,555,546x = 15,725,799,843 × 15,725,799,843
  4. Step 4: Simplify right side
    10,235,555,546x = 247,300,780,702,098,817,024
  5. Step 5: Solve for x
    x = 247,300,780,702,098,817,024/10,235,555,546
  6. Step 6: Final answer
    x = 24,160,953,412.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.