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Finding the Third Proportional to 640,239,516 and 1,482,062,202

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Solution

The third proportional to 640,239,516 and 1,482,062,202 is: 3,430,760,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,239,516 : 1,482,062,202 = 1,482,062,202 : x
  2. Step 2: Convert to fraction form
    640,239,516/1,482,062,202 = 1,482,062,202/x
  3. Step 3: Cross multiply
    640,239,516x = 1,482,062,202 × 1,482,062,202
  4. Step 4: Simplify right side
    640,239,516x = 2,196,508,370,597,088,768
  5. Step 5: Solve for x
    x = 2,196,508,370,597,088,768/640,239,516
  6. Step 6: Final answer
    x = 3,430,760,388.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.