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Finding the Third Proportional to 42,645,725.44 and 65,508,509.53

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Solution

The third proportional to 42,645,725.44 and 65,508,509.53 is: 100,628,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,645,725.44 : 65,508,509.53 = 65,508,509.53 : x
  2. Step 2: Convert to fraction form
    42,645,725.44/65,508,509.53 = 65,508,509.53/x
  3. Step 3: Cross multiply
    42,645,725.44x = 65,508,509.53 × 65,508,509.53
  4. Step 4: Simplify right side
    42,645,725.44x = 4,291,364,821,005,872
  5. Step 5: Solve for x
    x = 4,291,364,821,005,872/42,645,725.44
  6. Step 6: Final answer
    x = 100,628,252.35

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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.