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Finding the Third Proportional to 1,464,597,713 and 2,210,516,814

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Solution

The third proportional to 1,464,597,713 and 2,210,516,814 is: 3,336,332,251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,597,713 : 2,210,516,814 = 2,210,516,814 : x
  2. Step 2: Convert to fraction form
    1,464,597,713/2,210,516,814 = 2,210,516,814/x
  3. Step 3: Cross multiply
    1,464,597,713x = 2,210,516,814 × 2,210,516,814
  4. Step 4: Simplify right side
    1,464,597,713x = 4,886,384,584,976,710,656
  5. Step 5: Solve for x
    x = 4,886,384,584,976,710,656/1,464,597,713
  6. Step 6: Final answer
    x = 3,336,332,251.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.