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Finding the Third Proportional to 9,140,900,401 and 12,872,402,051

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Solution

The third proportional to 9,140,900,401 and 12,872,402,051 is: 18,127,178,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140,900,401 : 12,872,402,051 = 12,872,402,051 : x
  2. Step 2: Convert to fraction form
    9,140,900,401/12,872,402,051 = 12,872,402,051/x
  3. Step 3: Cross multiply
    9,140,900,401x = 12,872,402,051 × 12,872,402,051
  4. Step 4: Simplify right side
    9,140,900,401x = 165,698,734,562,589,016,064
  5. Step 5: Solve for x
    x = 165,698,734,562,589,016,064/9,140,900,401
  6. Step 6: Final answer
    x = 18,127,178,646.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.