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Finding the Third Proportional to 1,318,087,748 and 2,840,302,216

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Solution

The third proportional to 1,318,087,748 and 2,840,302,216 is: 6,120,470,120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318,087,748 : 2,840,302,216 = 2,840,302,216 : x
  2. Step 2: Convert to fraction form
    1,318,087,748/2,840,302,216 = 2,840,302,216/x
  3. Step 3: Cross multiply
    1,318,087,748x = 2,840,302,216 × 2,840,302,216
  4. Step 4: Simplify right side
    1,318,087,748x = 8,067,316,678,214,510,592
  5. Step 5: Solve for x
    x = 8,067,316,678,214,510,592/1,318,087,748
  6. Step 6: Final answer
    x = 6,120,470,120.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.