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Finding the Third Proportional to 9,181,620,980 and 19,639,750,120

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Solution

The third proportional to 9,181,620,980 and 19,639,750,120 is: 42,009,987,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181,620,980 : 19,639,750,120 = 19,639,750,120 : x
  2. Step 2: Convert to fraction form
    9,181,620,980/19,639,750,120 = 19,639,750,120/x
  3. Step 3: Cross multiply
    9,181,620,980x = 19,639,750,120 × 19,639,750,120
  4. Step 4: Simplify right side
    9,181,620,980x = 385,719,784,776,039,989,248
  5. Step 5: Solve for x
    x = 385,719,784,776,039,989,248/9,181,620,980
  6. Step 6: Final answer
    x = 42,009,987,737.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.