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Finding the Third Proportional to 2,039,149,224 and 3,148,803,065

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Solution

The third proportional to 2,039,149,224 and 3,148,803,065 is: 4,862,302,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039,149,224 : 3,148,803,065 = 3,148,803,065 : x
  2. Step 2: Convert to fraction form
    2,039,149,224/3,148,803,065 = 3,148,803,065/x
  3. Step 3: Cross multiply
    2,039,149,224x = 3,148,803,065 × 3,148,803,065
  4. Step 4: Simplify right side
    2,039,149,224x = 9,914,960,742,153,394,176
  5. Step 5: Solve for x
    x = 9,914,960,742,153,394,176/2,039,149,224
  6. Step 6: Final answer
    x = 4,862,302,682.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.