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Finding the Third Proportional to 727,713,352 and 1,582,929,778

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Solution

The third proportional to 727,713,352 and 1,582,929,778 is: 3,443,205,590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,713,352 : 1,582,929,778 = 1,582,929,778 : x
  2. Step 2: Convert to fraction form
    727,713,352/1,582,929,778 = 1,582,929,778/x
  3. Step 3: Cross multiply
    727,713,352x = 1,582,929,778 × 1,582,929,778
  4. Step 4: Simplify right side
    727,713,352x = 2,505,666,682,079,129,088
  5. Step 5: Solve for x
    x = 2,505,666,682,079,129,088/727,713,352
  6. Step 6: Final answer
    x = 3,443,205,590.76

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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.