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Finding the Third Proportional to 6,249,563,469 and 9,520,858,975.50

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Solution

The third proportional to 6,249,563,469 and 9,520,858,975.50 is: 14,504,493,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249,563,469 : 9,520,858,975.50 = 9,520,858,975.50 : x
  2. Step 2: Convert to fraction form
    6,249,563,469/9,520,858,975.50 = 9,520,858,975.50/x
  3. Step 3: Cross multiply
    6,249,563,469x = 9,520,858,975.50 × 9,520,858,975.50
  4. Step 4: Simplify right side
    6,249,563,469x = 90,646,755,631,358,902,272
  5. Step 5: Solve for x
    x = 90,646,755,631,358,902,272/6,249,563,469
  6. Step 6: Final answer
    x = 14,504,493,966.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.