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Finding the Third Proportional to 9,167,847,001 and 19,642,640,989

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Solution

The third proportional to 9,167,847,001 and 19,642,640,989 is: 42,085,491,280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167,847,001 : 19,642,640,989 = 19,642,640,989 : x
  2. Step 2: Convert to fraction form
    9,167,847,001/19,642,640,989 = 19,642,640,989/x
  3. Step 3: Cross multiply
    9,167,847,001x = 19,642,640,989 × 19,642,640,989
  4. Step 4: Simplify right side
    9,167,847,001x = 385,833,345,022,742,888,448
  5. Step 5: Solve for x
    x = 385,833,345,022,742,888,448/9,167,847,001
  6. Step 6: Final answer
    x = 42,085,491,280.63

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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.