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Finding the Third Proportional to 9,282,897 and 14,191,159.50

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Solution

The third proportional to 9,282,897 and 14,191,159.50 is: 21,694,629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282,897 : 14,191,159.50 = 14,191,159.50 : x
  2. Step 2: Convert to fraction form
    9,282,897/14,191,159.50 = 14,191,159.50/x
  3. Step 3: Cross multiply
    9,282,897x = 14,191,159.50 × 14,191,159.50
  4. Step 4: Simplify right side
    9,282,897x = 201,389,007,954,440.25
  5. Step 5: Solve for x
    x = 201,389,007,954,440.25/9,282,897
  6. Step 6: Final answer
    x = 21,694,629.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.