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Finding the Third Proportional to 10,301,416.50 and 21,450,597

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Solution

The third proportional to 10,301,416.50 and 21,450,597 is: 44,666,489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301,416.50 : 21,450,597 = 21,450,597 : x
  2. Step 2: Convert to fraction form
    10,301,416.50/21,450,597 = 21,450,597/x
  3. Step 3: Cross multiply
    10,301,416.50x = 21,450,597 × 21,450,597
  4. Step 4: Simplify right side
    10,301,416.50x = 460,128,111,656,409
  5. Step 5: Solve for x
    x = 460,128,111,656,409/10,301,416.50
  6. Step 6: Final answer
    x = 44,666,489.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.