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Finding the Third Proportional to 6,833,324,196 and 10,649,496,579

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Solution

The third proportional to 6,833,324,196 and 10,649,496,579 is: 16,596,867,663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833,324,196 : 10,649,496,579 = 10,649,496,579 : x
  2. Step 2: Convert to fraction form
    6,833,324,196/10,649,496,579 = 10,649,496,579/x
  3. Step 3: Cross multiply
    6,833,324,196x = 10,649,496,579 × 10,649,496,579
  4. Step 4: Simplify right side
    6,833,324,196x = 113,411,777,386,132,701,184
  5. Step 5: Solve for x
    x = 113,411,777,386,132,701,184/6,833,324,196
  6. Step 6: Final answer
    x = 16,596,867,663.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.