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Finding the Third Proportional to 4,558,140 and 9,726,392.25

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Solution

The third proportional to 4,558,140 and 9,726,392.25 is: 20,754,673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558,140 : 9,726,392.25 = 9,726,392.25 : x
  2. Step 2: Convert to fraction form
    4,558,140/9,726,392.25 = 9,726,392.25/x
  3. Step 3: Cross multiply
    4,558,140x = 9,726,392.25 × 9,726,392.25
  4. Step 4: Simplify right side
    4,558,140x = 94,602,706,200,860.06
  5. Step 5: Solve for x
    x = 94,602,706,200,860.06/4,558,140
  6. Step 6: Final answer
    x = 20,754,673.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.