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Finding the Third Proportional to 4,845,993 and 7,502,643

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Solution

The third proportional to 4,845,993 and 7,502,643 is: 11,615,710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845,993 : 7,502,643 = 7,502,643 : x
  2. Step 2: Convert to fraction form
    4,845,993/7,502,643 = 7,502,643/x
  3. Step 3: Cross multiply
    4,845,993x = 7,502,643 × 7,502,643
  4. Step 4: Simplify right side
    4,845,993x = 56,289,651,985,449
  5. Step 5: Solve for x
    x = 56,289,651,985,449/4,845,993
  6. Step 6: Final answer
    x = 11,615,710.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.