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Finding the Third Proportional to 9,626,572 and 14,441,754

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Solution

The third proportional to 9,626,572 and 14,441,754 is: 21,665,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626,572 : 14,441,754 = 14,441,754 : x
  2. Step 2: Convert to fraction form
    9,626,572/14,441,754 = 14,441,754/x
  3. Step 3: Cross multiply
    9,626,572x = 14,441,754 × 14,441,754
  4. Step 4: Simplify right side
    9,626,572x = 208,564,258,596,516
  5. Step 5: Solve for x
    x = 208,564,258,596,516/9,626,572
  6. Step 6: Final answer
    x = 21,665,475.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.