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Finding the Third Proportional to 9,563,618 and 20,638,576

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Solution

The third proportional to 9,563,618 and 20,638,576 is: 44,538,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563,618 : 20,638,576 = 20,638,576 : x
  2. Step 2: Convert to fraction form
    9,563,618/20,638,576 = 20,638,576/x
  3. Step 3: Cross multiply
    9,563,618x = 20,638,576 × 20,638,576
  4. Step 4: Simplify right side
    9,563,618x = 425,950,819,307,776
  5. Step 5: Solve for x
    x = 425,950,819,307,776/9,563,618
  6. Step 6: Final answer
    x = 44,538,669.29

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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.