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Finding the Third Proportional to 6,091,402,274 and 8,218,731,882

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Solution

The third proportional to 6,091,402,274 and 8,218,731,882 is: 11,088,999,003.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091,402,274 : 8,218,731,882 = 8,218,731,882 : x
  2. Step 2: Convert to fraction form
    6,091,402,274/8,218,731,882 = 8,218,731,882/x
  3. Step 3: Cross multiply
    6,091,402,274x = 8,218,731,882 × 8,218,731,882
  4. Step 4: Simplify right side
    6,091,402,274x = 67,547,553,748,203,257,856
  5. Step 5: Solve for x
    x = 67,547,553,748,203,257,856/6,091,402,274
  6. Step 6: Final answer
    x = 11,088,999,003.81

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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.