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Finding the Third Proportional to 9,905,692 and 14,812,998

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Solution

The third proportional to 9,905,692 and 14,812,998 is: 22,151,396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905,692 : 14,812,998 = 14,812,998 : x
  2. Step 2: Convert to fraction form
    9,905,692/14,812,998 = 14,812,998/x
  3. Step 3: Cross multiply
    9,905,692x = 14,812,998 × 14,812,998
  4. Step 4: Simplify right side
    9,905,692x = 219,424,909,748,004
  5. Step 5: Solve for x
    x = 219,424,909,748,004/9,905,692
  6. Step 6: Final answer
    x = 22,151,396.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.