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Finding the Third Proportional to 755,845,971.75 and 1,080,861,030

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Solution

The third proportional to 755,845,971.75 and 1,080,861,030 is: 1,545,633,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,845,971.75 : 1,080,861,030 = 1,080,861,030 : x
  2. Step 2: Convert to fraction form
    755,845,971.75/1,080,861,030 = 1,080,861,030/x
  3. Step 3: Cross multiply
    755,845,971.75x = 1,080,861,030 × 1,080,861,030
  4. Step 4: Simplify right side
    755,845,971.75x = 1,168,260,566,172,660,992
  5. Step 5: Solve for x
    x = 1,168,260,566,172,660,992/755,845,971.75
  6. Step 6: Final answer
    x = 1,545,633,118.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.