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Finding the Third Proportional to 6,140,444,708 and 9,432,474,155

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Solution

The third proportional to 6,140,444,708 and 9,432,474,155 is: 14,489,434,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140,444,708 : 9,432,474,155 = 9,432,474,155 : x
  2. Step 2: Convert to fraction form
    6,140,444,708/9,432,474,155 = 9,432,474,155/x
  3. Step 3: Cross multiply
    6,140,444,708x = 9,432,474,155 × 9,432,474,155
  4. Step 4: Simplify right side
    6,140,444,708x = 88,971,568,684,742,967,296
  5. Step 5: Solve for x
    x = 88,971,568,684,742,967,296/6,140,444,708
  6. Step 6: Final answer
    x = 14,489,434,058.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.