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Finding the Third Proportional to 2,910,847,889 and 6,331,706,426

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Solution

The third proportional to 2,910,847,889 and 6,331,706,426 is: 13,772,793,286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910,847,889 : 6,331,706,426 = 6,331,706,426 : x
  2. Step 2: Convert to fraction form
    2,910,847,889/6,331,706,426 = 6,331,706,426/x
  3. Step 3: Cross multiply
    2,910,847,889x = 6,331,706,426 × 6,331,706,426
  4. Step 4: Simplify right side
    2,910,847,889x = 40,090,506,265,049,694,208
  5. Step 5: Solve for x
    x = 40,090,506,265,049,694,208/2,910,847,889
  6. Step 6: Final answer
    x = 13,772,793,286.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.