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Finding the Third Proportional to 4,962,311,496 and 7,682,750,316

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Solution

The third proportional to 4,962,311,496 and 7,682,750,316 is: 11,894,588,331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962,311,496 : 7,682,750,316 = 7,682,750,316 : x
  2. Step 2: Convert to fraction form
    4,962,311,496/7,682,750,316 = 7,682,750,316/x
  3. Step 3: Cross multiply
    4,962,311,496x = 7,682,750,316 × 7,682,750,316
  4. Step 4: Simplify right side
    4,962,311,496x = 59,024,652,417,998,102,528
  5. Step 5: Solve for x
    x = 59,024,652,417,998,102,528/4,962,311,496
  6. Step 6: Final answer
    x = 11,894,588,331.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.