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Finding the Third Proportional to 1,075,516,005 and 2,314,475,001

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Solution

The third proportional to 1,075,516,005 and 2,314,475,001 is: 4,980,673,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075,516,005 : 2,314,475,001 = 2,314,475,001 : x
  2. Step 2: Convert to fraction form
    1,075,516,005/2,314,475,001 = 2,314,475,001/x
  3. Step 3: Cross multiply
    1,075,516,005x = 2,314,475,001 × 2,314,475,001
  4. Step 4: Simplify right side
    1,075,516,005x = 5,356,794,530,253,949,952
  5. Step 5: Solve for x
    x = 5,356,794,530,253,949,952/1,075,516,005
  6. Step 6: Final answer
    x = 4,980,673,932.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.