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Finding the Third Proportional to 640,840,362 and 1,315,653,576

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Solution

The third proportional to 640,840,362 and 1,315,653,576 is: 2,701,053,857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,840,362 : 1,315,653,576 = 1,315,653,576 : x
  2. Step 2: Convert to fraction form
    640,840,362/1,315,653,576 = 1,315,653,576/x
  3. Step 3: Cross multiply
    640,840,362x = 1,315,653,576 × 1,315,653,576
  4. Step 4: Simplify right side
    640,840,362x = 1,730,944,332,041,587,712
  5. Step 5: Solve for x
    x = 1,730,944,332,041,587,712/640,840,362
  6. Step 6: Final answer
    x = 2,701,053,857.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.