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Finding the Third Proportional to 10,367,015 and 22,623,537

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Solution

The third proportional to 10,367,015 and 22,623,537 is: 49,370,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367,015 : 22,623,537 = 22,623,537 : x
  2. Step 2: Convert to fraction form
    10,367,015/22,623,537 = 22,623,537/x
  3. Step 3: Cross multiply
    10,367,015x = 22,623,537 × 22,623,537
  4. Step 4: Simplify right side
    10,367,015x = 511,824,426,390,369
  5. Step 5: Solve for x
    x = 511,824,426,390,369/10,367,015
  6. Step 6: Final answer
    x = 49,370,472.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.