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Finding the Third Proportional to 4,142,546,201 and 9,087,110,680

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Solution

The third proportional to 4,142,546,201 and 9,087,110,680 is: 19,933,532,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142,546,201 : 9,087,110,680 = 9,087,110,680 : x
  2. Step 2: Convert to fraction form
    4,142,546,201/9,087,110,680 = 9,087,110,680/x
  3. Step 3: Cross multiply
    4,142,546,201x = 9,087,110,680 × 9,087,110,680
  4. Step 4: Simplify right side
    4,142,546,201x = 82,575,580,510,570,070,016
  5. Step 5: Solve for x
    x = 82,575,580,510,570,070,016/4,142,546,201
  6. Step 6: Final answer
    x = 19,933,532,784.89

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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.