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Finding the Third Proportional to 1,415,516,078 and 3,103,129,948

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Solution

The third proportional to 1,415,516,078 and 3,103,129,948 is: 6,802,759,519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,516,078 : 3,103,129,948 = 3,103,129,948 : x
  2. Step 2: Convert to fraction form
    1,415,516,078/3,103,129,948 = 3,103,129,948/x
  3. Step 3: Cross multiply
    1,415,516,078x = 3,103,129,948 × 3,103,129,948
  4. Step 4: Simplify right side
    1,415,516,078x = 9,629,415,474,174,482,432
  5. Step 5: Solve for x
    x = 9,629,415,474,174,482,432/1,415,516,078
  6. Step 6: Final answer
    x = 6,802,759,519.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.