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Finding the Third Proportional to 2,653,077,744 and 5,678,849,826

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Solution

The third proportional to 2,653,077,744 and 5,678,849,826 is: 12,155,443,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653,077,744 : 5,678,849,826 = 5,678,849,826 : x
  2. Step 2: Convert to fraction form
    2,653,077,744/5,678,849,826 = 5,678,849,826/x
  3. Step 3: Cross multiply
    2,653,077,744x = 5,678,849,826 × 5,678,849,826
  4. Step 4: Simplify right side
    2,653,077,744x = 32,249,335,346,260,230,144
  5. Step 5: Solve for x
    x = 32,249,335,346,260,230,144/2,653,077,744
  6. Step 6: Final answer
    x = 12,155,443,020.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.