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Finding the Third Proportional to 8,516,417,499 and 18,638,308,413

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Solution

The third proportional to 8,516,417,499 and 18,638,308,413 is: 40,790,219,659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516,417,499 : 18,638,308,413 = 18,638,308,413 : x
  2. Step 2: Convert to fraction form
    8,516,417,499/18,638,308,413 = 18,638,308,413/x
  3. Step 3: Cross multiply
    8,516,417,499x = 18,638,308,413 × 18,638,308,413
  4. Step 4: Simplify right side
    8,516,417,499x = 347,386,540,498,106,580,992
  5. Step 5: Solve for x
    x = 347,386,540,498,106,580,992/8,516,417,499
  6. Step 6: Final answer
    x = 40,790,219,659.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.