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Finding the Third Proportional to 9,973,907 and 15,161,963

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Solution

The third proportional to 9,973,907 and 15,161,963 is: 23,048,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973,907 : 15,161,963 = 15,161,963 : x
  2. Step 2: Convert to fraction form
    9,973,907/15,161,963 = 15,161,963/x
  3. Step 3: Cross multiply
    9,973,907x = 15,161,963 × 15,161,963
  4. Step 4: Simplify right side
    9,973,907x = 229,885,122,013,369
  5. Step 5: Solve for x
    x = 229,885,122,013,369/9,973,907
  6. Step 6: Final answer
    x = 23,048,653.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.