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Finding the Third Proportional to 6,746,598 and 14,570,414

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Solution

The third proportional to 6,746,598 and 14,570,414 is: 31,467,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746,598 : 14,570,414 = 14,570,414 : x
  2. Step 2: Convert to fraction form
    6,746,598/14,570,414 = 14,570,414/x
  3. Step 3: Cross multiply
    6,746,598x = 14,570,414 × 14,570,414
  4. Step 4: Simplify right side
    6,746,598x = 212,296,964,131,396
  5. Step 5: Solve for x
    x = 212,296,964,131,396/6,746,598
  6. Step 6: Final answer
    x = 31,467,261.59

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