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Finding the Third Proportional to 1,316,000,767.50 and 2,044,284,216.75

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Solution

The third proportional to 1,316,000,767.50 and 2,044,284,216.75 is: 3,175,604,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,000,767.50 : 2,044,284,216.75 = 2,044,284,216.75 : x
  2. Step 2: Convert to fraction form
    1,316,000,767.50/2,044,284,216.75 = 2,044,284,216.75/x
  3. Step 3: Cross multiply
    1,316,000,767.50x = 2,044,284,216.75 × 2,044,284,216.75
  4. Step 4: Simplify right side
    1,316,000,767.50x = 4,179,097,958,853,160,960
  5. Step 5: Solve for x
    x = 4,179,097,958,853,160,960/1,316,000,767.50
  6. Step 6: Final answer
    x = 3,175,604,499.68

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