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Finding the Third Proportional to 19,464,625.50 and 45,948,080.25

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Solution

The third proportional to 19,464,625.50 and 45,948,080.25 is: 108,464,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,464,625.50 : 45,948,080.25 = 45,948,080.25 : x
  2. Step 2: Convert to fraction form
    19,464,625.50/45,948,080.25 = 45,948,080.25/x
  3. Step 3: Cross multiply
    19,464,625.50x = 45,948,080.25 × 45,948,080.25
  4. Step 4: Simplify right side
    19,464,625.50x = 2,111,226,078,660,440
  5. Step 5: Solve for x
    x = 2,111,226,078,660,440/19,464,625.50
  6. Step 6: Final answer
    x = 108,464,767.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.