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Finding the Third Proportional to 6,673,542 and 14,570,346

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Solution

The third proportional to 6,673,542 and 14,570,346 is: 31,811,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,673,542 : 14,570,346 = 14,570,346 : x
  2. Step 2: Convert to fraction form
    6,673,542/14,570,346 = 14,570,346/x
  3. Step 3: Cross multiply
    6,673,542x = 14,570,346 × 14,570,346
  4. Step 4: Simplify right side
    6,673,542x = 212,294,982,559,716
  5. Step 5: Solve for x
    x = 212,294,982,559,716/6,673,542
  6. Step 6: Final answer
    x = 31,811,440.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.