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Finding the Third Proportional to 9,348,409.50 and 14,360,300.50

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Solution

The third proportional to 9,348,409.50 and 14,360,300.50 is: 22,059,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348,409.50 : 14,360,300.50 = 14,360,300.50 : x
  2. Step 2: Convert to fraction form
    9,348,409.50/14,360,300.50 = 14,360,300.50/x
  3. Step 3: Cross multiply
    9,348,409.50x = 14,360,300.50 × 14,360,300.50
  4. Step 4: Simplify right side
    9,348,409.50x = 206,218,230,450,300.25
  5. Step 5: Solve for x
    x = 206,218,230,450,300.25/9,348,409.50
  6. Step 6: Final answer
    x = 22,059,178.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.