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Finding the Third Proportional to 10,376,546 and 16,576,618

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Solution

The third proportional to 10,376,546 and 16,576,618 is: 26,481,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376,546 : 16,576,618 = 16,576,618 : x
  2. Step 2: Convert to fraction form
    10,376,546/16,576,618 = 16,576,618/x
  3. Step 3: Cross multiply
    10,376,546x = 16,576,618 × 16,576,618
  4. Step 4: Simplify right side
    10,376,546x = 274,784,264,317,924
  5. Step 5: Solve for x
    x = 274,784,264,317,924/10,376,546
  6. Step 6: Final answer
    x = 26,481,284.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.