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Finding the Third Proportional to 640,840,394 and 1,315,653,664

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Solution

The third proportional to 640,840,394 and 1,315,653,664 is: 2,701,054,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,840,394 : 1,315,653,664 = 1,315,653,664 : x
  2. Step 2: Convert to fraction form
    640,840,394/1,315,653,664 = 1,315,653,664/x
  3. Step 3: Cross multiply
    640,840,394x = 1,315,653,664 × 1,315,653,664
  4. Step 4: Simplify right side
    640,840,394x = 1,730,944,563,596,624,896
  5. Step 5: Solve for x
    x = 1,730,944,563,596,624,896/640,840,394
  6. Step 6: Final answer
    x = 2,701,054,084.30

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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.