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Finding the Third Proportional to 10,497,875 and 15,011,976

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Solution

The third proportional to 10,497,875 and 15,011,976 is: 21,467,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497,875 : 15,011,976 = 15,011,976 : x
  2. Step 2: Convert to fraction form
    10,497,875/15,011,976 = 15,011,976/x
  3. Step 3: Cross multiply
    10,497,875x = 15,011,976 × 15,011,976
  4. Step 4: Simplify right side
    10,497,875x = 225,359,423,424,576
  5. Step 5: Solve for x
    x = 225,359,423,424,576/10,497,875
  6. Step 6: Final answer
    x = 21,467,146.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.