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Finding the Third Proportional to 10,497,873 and 15,011,973

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Solution

The third proportional to 10,497,873 and 15,011,973 is: 21,467,142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497,873 : 15,011,973 = 15,011,973 : x
  2. Step 2: Convert to fraction form
    10,497,873/15,011,973 = 15,011,973/x
  3. Step 3: Cross multiply
    10,497,873x = 15,011,973 × 15,011,973
  4. Step 4: Simplify right side
    10,497,873x = 225,359,333,352,729
  5. Step 5: Solve for x
    x = 225,359,333,352,729/10,497,873
  6. Step 6: Final answer
    x = 21,467,142.28

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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.