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Finding the Third Proportional to 467,566,856 and 744,647,052

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Solution

The third proportional to 467,566,856 and 744,647,052 is: 1,185,925,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,566,856 : 744,647,052 = 744,647,052 : x
  2. Step 2: Convert to fraction form
    467,566,856/744,647,052 = 744,647,052/x
  3. Step 3: Cross multiply
    467,566,856x = 744,647,052 × 744,647,052
  4. Step 4: Simplify right side
    467,566,856x = 554,499,232,052,290,688
  5. Step 5: Solve for x
    x = 554,499,232,052,290,688/467,566,856
  6. Step 6: Final answer
    x = 1,185,925,017.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.