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Finding the Third Proportional to 404,106,096 and 872,877,408

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Solution

The third proportional to 404,106,096 and 872,877,408 is: 1,885,433,001.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,106,096 : 872,877,408 = 872,877,408 : x
  2. Step 2: Convert to fraction form
    404,106,096/872,877,408 = 872,877,408/x
  3. Step 3: Cross multiply
    404,106,096x = 872,877,408 × 872,877,408
  4. Step 4: Simplify right side
    404,106,096x = 761,914,969,396,798,464
  5. Step 5: Solve for x
    x = 761,914,969,396,798,464/404,106,096
  6. Step 6: Final answer
    x = 1,885,433,001.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.