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Finding the Third Proportional to 7,872,612,615 and 17,349,914,447.25

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Solution

The third proportional to 7,872,612,615 and 17,349,914,447.25 is: 38,236,294,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872,612,615 : 17,349,914,447.25 = 17,349,914,447.25 : x
  2. Step 2: Convert to fraction form
    7,872,612,615/17,349,914,447.25 = 17,349,914,447.25/x
  3. Step 3: Cross multiply
    7,872,612,615x = 17,349,914,447.25 × 17,349,914,447.25
  4. Step 4: Simplify right side
    7,872,612,615x = 301,019,531,326,894,243,840
  5. Step 5: Solve for x
    x = 301,019,531,326,894,243,840/7,872,612,615
  6. Step 6: Final answer
    x = 38,236,294,105.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.