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Finding the Third Proportional to 9,596,896 and 14,494,488

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Solution

The third proportional to 9,596,896 and 14,494,488 is: 21,891,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596,896 : 14,494,488 = 14,494,488 : x
  2. Step 2: Convert to fraction form
    9,596,896/14,494,488 = 14,494,488/x
  3. Step 3: Cross multiply
    9,596,896x = 14,494,488 × 14,494,488
  4. Step 4: Simplify right side
    9,596,896x = 210,090,182,382,144
  5. Step 5: Solve for x
    x = 210,090,182,382,144/9,596,896
  6. Step 6: Final answer
    x = 21,891,472.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.