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Finding the Third Proportional to 5,426,070 and 8,397,945.75

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Solution

The third proportional to 5,426,070 and 8,397,945.75 is: 12,997,527.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426,070 : 8,397,945.75 = 8,397,945.75 : x
  2. Step 2: Convert to fraction form
    5,426,070/8,397,945.75 = 8,397,945.75/x
  3. Step 3: Cross multiply
    5,426,070x = 8,397,945.75 × 8,397,945.75
  4. Step 4: Simplify right side
    5,426,070x = 70,525,492,819,943.06
  5. Step 5: Solve for x
    x = 70,525,492,819,943.06/5,426,070
  6. Step 6: Final answer
    x = 12,997,527.27

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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.