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Finding the Third Proportional to 3,187,878,894 and 5,000,388,214.50

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Solution

The third proportional to 3,187,878,894 and 5,000,388,214.50 is: 7,843,422,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187,878,894 : 5,000,388,214.50 = 5,000,388,214.50 : x
  2. Step 2: Convert to fraction form
    3,187,878,894/5,000,388,214.50 = 5,000,388,214.50/x
  3. Step 3: Cross multiply
    3,187,878,894x = 5,000,388,214.50 × 5,000,388,214.50
  4. Step 4: Simplify right side
    3,187,878,894x = 25,003,882,295,710,498,816
  5. Step 5: Solve for x
    x = 25,003,882,295,710,498,816/3,187,878,894
  6. Step 6: Final answer
    x = 7,843,422,892.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.