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Finding the Third Proportional to 8,124,613,818 and 11,226,370,602

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Solution

The third proportional to 8,124,613,818 and 11,226,370,602 is: 15,512,293,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124,613,818 : 11,226,370,602 = 11,226,370,602 : x
  2. Step 2: Convert to fraction form
    8,124,613,818/11,226,370,602 = 11,226,370,602/x
  3. Step 3: Cross multiply
    8,124,613,818x = 11,226,370,602 × 11,226,370,602
  4. Step 4: Simplify right side
    8,124,613,818x = 126,031,396,893,449,846,784
  5. Step 5: Solve for x
    x = 126,031,396,893,449,846,784/8,124,613,818
  6. Step 6: Final answer
    x = 15,512,293,841.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.