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Finding the Third Proportional to 6,787,718 and 14,638,066

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Solution

The third proportional to 6,787,718 and 14,638,066 is: 31,567,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787,718 : 14,638,066 = 14,638,066 : x
  2. Step 2: Convert to fraction form
    6,787,718/14,638,066 = 14,638,066/x
  3. Step 3: Cross multiply
    6,787,718x = 14,638,066 × 14,638,066
  4. Step 4: Simplify right side
    6,787,718x = 214,272,976,220,356
  5. Step 5: Solve for x
    x = 214,272,976,220,356/6,787,718
  6. Step 6: Final answer
    x = 31,567,748.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.