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Finding the Third Proportional to 7,677,618 and 16,403,356

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Solution

The third proportional to 7,677,618 and 16,403,356 is: 35,046,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677,618 : 16,403,356 = 16,403,356 : x
  2. Step 2: Convert to fraction form
    7,677,618/16,403,356 = 16,403,356/x
  3. Step 3: Cross multiply
    7,677,618x = 16,403,356 × 16,403,356
  4. Step 4: Simplify right side
    7,677,618x = 269,070,088,062,736
  5. Step 5: Solve for x
    x = 269,070,088,062,736/7,677,618
  6. Step 6: Final answer
    x = 35,046,037.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.