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Finding the Third Proportional to 930,634,491 and 2,016,368,430

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Solution

The third proportional to 930,634,491 and 2,016,368,430 is: 4,368,784,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,634,491 : 2,016,368,430 = 2,016,368,430 : x
  2. Step 2: Convert to fraction form
    930,634,491/2,016,368,430 = 2,016,368,430/x
  3. Step 3: Cross multiply
    930,634,491x = 2,016,368,430 × 2,016,368,430
  4. Step 4: Simplify right side
    930,634,491x = 4,065,741,645,500,664,832
  5. Step 5: Solve for x
    x = 4,065,741,645,500,664,832/930,634,491
  6. Step 6: Final answer
    x = 4,368,784,613.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.