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Finding the Third Proportional to 11,408,506,947 and 24,387,056,813.25

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Solution

The third proportional to 11,408,506,947 and 24,387,056,813.25 is: 52,130,269,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408,506,947 : 24,387,056,813.25 = 24,387,056,813.25 : x
  2. Step 2: Convert to fraction form
    11,408,506,947/24,387,056,813.25 = 24,387,056,813.25/x
  3. Step 3: Cross multiply
    11,408,506,947x = 24,387,056,813.25 × 24,387,056,813.25
  4. Step 4: Simplify right side
    11,408,506,947x = 594,728,540,012,683,198,464
  5. Step 5: Solve for x
    x = 594,728,540,012,683,198,464/11,408,506,947
  6. Step 6: Final answer
    x = 52,130,269,348.62

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Why These Related Problems?

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