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Finding the Third Proportional to 4,136,395,518.75 and 8,847,868,287

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Solution

The third proportional to 4,136,395,518.75 and 8,847,868,287 is: 18,925,843,253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136,395,518.75 : 8,847,868,287 = 8,847,868,287 : x
  2. Step 2: Convert to fraction form
    4,136,395,518.75/8,847,868,287 = 8,847,868,287/x
  3. Step 3: Cross multiply
    4,136,395,518.75x = 8,847,868,287 × 8,847,868,287
  4. Step 4: Simplify right side
    4,136,395,518.75x = 78,284,773,224,100,315,136
  5. Step 5: Solve for x
    x = 78,284,773,224,100,315,136/4,136,395,518.75
  6. Step 6: Final answer
    x = 18,925,843,253.93

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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.