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Finding the Third Proportional to 1,028,074,072 and 1,566,216,225

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Solution

The third proportional to 1,028,074,072 and 1,566,216,225 is: 2,386,047,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,074,072 : 1,566,216,225 = 1,566,216,225 : x
  2. Step 2: Convert to fraction form
    1,028,074,072/1,566,216,225 = 1,566,216,225/x
  3. Step 3: Cross multiply
    1,028,074,072x = 1,566,216,225 × 1,566,216,225
  4. Step 4: Simplify right side
    1,028,074,072x = 2,453,033,263,453,250,560
  5. Step 5: Solve for x
    x = 2,453,033,263,453,250,560/1,028,074,072
  6. Step 6: Final answer
    x = 2,386,047,202.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.