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Finding the Third Proportional to 2,409,977,328 and 3,724,029,504

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Solution

The third proportional to 2,409,977,328 and 3,724,029,504 is: 5,754,575,192.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,977,328 : 3,724,029,504 = 3,724,029,504 : x
  2. Step 2: Convert to fraction form
    2,409,977,328/3,724,029,504 = 3,724,029,504/x
  3. Step 3: Cross multiply
    2,409,977,328x = 3,724,029,504 × 3,724,029,504
  4. Step 4: Simplify right side
    2,409,977,328x = 13,868,395,746,662,486,016
  5. Step 5: Solve for x
    x = 13,868,395,746,662,486,016/2,409,977,328
  6. Step 6: Final answer
    x = 5,754,575,192.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.