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Finding the Third Proportional to 538,375,744 and 1,171,229,888

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Solution

The third proportional to 538,375,744 and 1,171,229,888 is: 2,547,996,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,375,744 : 1,171,229,888 = 1,171,229,888 : x
  2. Step 2: Convert to fraction form
    538,375,744/1,171,229,888 = 1,171,229,888/x
  3. Step 3: Cross multiply
    538,375,744x = 1,171,229,888 × 1,171,229,888
  4. Step 4: Simplify right side
    538,375,744x = 1,371,779,450,544,492,544
  5. Step 5: Solve for x
    x = 1,371,779,450,544,492,544/538,375,744
  6. Step 6: Final answer
    x = 2,547,996,386.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.