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Finding the Third Proportional to 4,155,618,186 and 9,142,349,892

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Solution

The third proportional to 4,155,618,186 and 9,142,349,892 is: 20,113,147,504.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155,618,186 : 9,142,349,892 = 9,142,349,892 : x
  2. Step 2: Convert to fraction form
    4,155,618,186/9,142,349,892 = 9,142,349,892/x
  3. Step 3: Cross multiply
    4,155,618,186x = 9,142,349,892 × 9,142,349,892
  4. Step 4: Simplify right side
    4,155,618,186x = 83,582,561,547,752,407,040
  5. Step 5: Solve for x
    x = 83,582,561,547,752,407,040/4,155,618,186
  6. Step 6: Final answer
    x = 20,113,147,504.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.