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Finding the Third Proportional to 9,831,232 and 21,385,808

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Solution

The third proportional to 9,831,232 and 21,385,808 is: 46,520,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831,232 : 21,385,808 = 21,385,808 : x
  2. Step 2: Convert to fraction form
    9,831,232/21,385,808 = 21,385,808/x
  3. Step 3: Cross multiply
    9,831,232x = 21,385,808 × 21,385,808
  4. Step 4: Simplify right side
    9,831,232x = 457,352,783,812,864
  5. Step 5: Solve for x
    x = 457,352,783,812,864/9,831,232
  6. Step 6: Final answer
    x = 46,520,393.76

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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.