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Finding the Third Proportional to 22,028,830.88 and 47,977,039.13

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Solution

The third proportional to 22,028,830.88 and 47,977,039.13 is: 104,490,170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,028,830.88 : 47,977,039.13 = 47,977,039.13 : x
  2. Step 2: Convert to fraction form
    22,028,830.88/47,977,039.13 = 47,977,039.13/x
  3. Step 3: Cross multiply
    22,028,830.88x = 47,977,039.13 × 47,977,039.13
  4. Step 4: Simplify right side
    22,028,830.88x = 2,301,796,283,201,781
  5. Step 5: Solve for x
    x = 2,301,796,283,201,781/22,028,830.88
  6. Step 6: Final answer
    x = 104,490,170.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.