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Finding the Third Proportional to 1,028,074,642 and 1,566,216,991

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Solution

The third proportional to 1,028,074,642 and 1,566,216,991 is: 2,386,048,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,074,642 : 1,566,216,991 = 1,566,216,991 : x
  2. Step 2: Convert to fraction form
    1,028,074,642/1,566,216,991 = 1,566,216,991/x
  3. Step 3: Cross multiply
    1,028,074,642x = 1,566,216,991 × 1,566,216,991
  4. Step 4: Simplify right side
    1,028,074,642x = 2,453,035,662,897,094,144
  5. Step 5: Solve for x
    x = 2,453,035,662,897,094,144/1,028,074,642
  6. Step 6: Final answer
    x = 2,386,048,213.51

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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.