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Finding the Third Proportional to 42,645,953.25 and 65,508,820.88

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Solution

The third proportional to 42,645,953.25 and 65,508,820.88 is: 100,628,671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,645,953.25 : 65,508,820.88 = 65,508,820.88 : x
  2. Step 2: Convert to fraction form
    42,645,953.25/65,508,820.88 = 65,508,820.88/x
  3. Step 3: Cross multiply
    42,645,953.25x = 65,508,820.88 × 65,508,820.88
  4. Step 4: Simplify right side
    42,645,953.25x = 4,291,405,612,432,836
  5. Step 5: Solve for x
    x = 4,291,405,612,432,836/42,645,953.25
  6. Step 6: Final answer
    x = 100,628,671.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.