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Finding the Third Proportional to 640,239,518 and 1,482,062,207

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Solution

The third proportional to 640,239,518 and 1,482,062,207 is: 3,430,760,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,239,518 : 1,482,062,207 = 1,482,062,207 : x
  2. Step 2: Convert to fraction form
    640,239,518/1,482,062,207 = 1,482,062,207/x
  3. Step 3: Cross multiply
    640,239,518x = 1,482,062,207 × 1,482,062,207
  4. Step 4: Simplify right side
    640,239,518x = 2,196,508,385,417,710,848
  5. Step 5: Solve for x
    x = 2,196,508,385,417,710,848/640,239,518
  6. Step 6: Final answer
    x = 3,430,760,400.86

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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.