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Finding the Third Proportional to 22,893,419.25 and 49,903,069.50

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Solution

The third proportional to 22,893,419.25 and 49,903,069.50 is: 108,778,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,893,419.25 : 49,903,069.50 = 49,903,069.50 : x
  2. Step 2: Convert to fraction form
    22,893,419.25/49,903,069.50 = 49,903,069.50/x
  3. Step 3: Cross multiply
    22,893,419.25x = 49,903,069.50 × 49,903,069.50
  4. Step 4: Simplify right side
    22,893,419.25x = 2,490,316,345,521,830
  5. Step 5: Solve for x
    x = 2,490,316,345,521,830/22,893,419.25
  6. Step 6: Final answer
    x = 108,778,698.29

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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.