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Finding the Third Proportional to 4,646,580 and 10,065,269

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Solution

The third proportional to 4,646,580 and 10,065,269 is: 21,803,055.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646,580 : 10,065,269 = 10,065,269 : x
  2. Step 2: Convert to fraction form
    4,646,580/10,065,269 = 10,065,269/x
  3. Step 3: Cross multiply
    4,646,580x = 10,065,269 × 10,065,269
  4. Step 4: Simplify right side
    4,646,580x = 101,309,640,042,361
  5. Step 5: Solve for x
    x = 101,309,640,042,361/4,646,580
  6. Step 6: Final answer
    x = 21,803,055.16

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.