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Finding the Third Proportional to 9,974,364 and 21,543,048

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Solution

The third proportional to 9,974,364 and 21,543,048 is: 46,529,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974,364 : 21,543,048 = 21,543,048 : x
  2. Step 2: Convert to fraction form
    9,974,364/21,543,048 = 21,543,048/x
  3. Step 3: Cross multiply
    9,974,364x = 21,543,048 × 21,543,048
  4. Step 4: Simplify right side
    9,974,364x = 464,102,917,130,304
  5. Step 5: Solve for x
    x = 464,102,917,130,304/9,974,364
  6. Step 6: Final answer
    x = 46,529,574.93

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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.