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Finding the Third Proportional to 6,734,853 and 14,773,590

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Solution

The third proportional to 6,734,853 and 14,773,590 is: 32,407,383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734,853 : 14,773,590 = 14,773,590 : x
  2. Step 2: Convert to fraction form
    6,734,853/14,773,590 = 14,773,590/x
  3. Step 3: Cross multiply
    6,734,853x = 14,773,590 × 14,773,590
  4. Step 4: Simplify right side
    6,734,853x = 218,258,961,488,100
  5. Step 5: Solve for x
    x = 218,258,961,488,100/6,734,853
  6. Step 6: Final answer
    x = 32,407,383.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.