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Finding the Third Proportional to 3,939,029,045 and 8,506,986,669

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Solution

The third proportional to 3,939,029,045 and 8,506,986,669 is: 18,372,248,937.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939,029,045 : 8,506,986,669 = 8,506,986,669 : x
  2. Step 2: Convert to fraction form
    3,939,029,045/8,506,986,669 = 8,506,986,669/x
  3. Step 3: Cross multiply
    3,939,029,045x = 8,506,986,669 × 8,506,986,669
  4. Step 4: Simplify right side
    3,939,029,045x = 72,368,822,186,543,718,400
  5. Step 5: Solve for x
    x = 72,368,822,186,543,718,400/3,939,029,045
  6. Step 6: Final answer
    x = 18,372,248,937.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.