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Finding the Third Proportional to 2,452,813,246 and 3,678,319,006

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Solution

The third proportional to 2,452,813,246 and 3,678,319,006 is: 5,516,127,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452,813,246 : 3,678,319,006 = 3,678,319,006 : x
  2. Step 2: Convert to fraction form
    2,452,813,246/3,678,319,006 = 3,678,319,006/x
  3. Step 3: Cross multiply
    2,452,813,246x = 3,678,319,006 × 3,678,319,006
  4. Step 4: Simplify right side
    2,452,813,246x = 13,530,030,709,900,828,672
  5. Step 5: Solve for x
    x = 13,530,030,709,900,828,672/2,452,813,246
  6. Step 6: Final answer
    x = 5,516,127,545.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.