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Finding the Third Proportional to 4,688,284,788 and 9,762,395,496

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Solution

The third proportional to 4,688,284,788 and 9,762,395,496 is: 20,328,194,666.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688,284,788 : 9,762,395,496 = 9,762,395,496 : x
  2. Step 2: Convert to fraction form
    4,688,284,788/9,762,395,496 = 9,762,395,496/x
  3. Step 3: Cross multiply
    4,688,284,788x = 9,762,395,496 × 9,762,395,496
  4. Step 4: Simplify right side
    4,688,284,788x = 95,304,365,820,321,087,488
  5. Step 5: Solve for x
    x = 95,304,365,820,321,087,488/4,688,284,788
  6. Step 6: Final answer
    x = 20,328,194,666.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.