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Finding the Third Proportional to 14,823,137 and 32,120,527

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Solution

The third proportional to 14,823,137 and 32,120,527 is: 69,602,558.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823,137 : 32,120,527 = 32,120,527 : x
  2. Step 2: Convert to fraction form
    14,823,137/32,120,527 = 32,120,527/x
  3. Step 3: Cross multiply
    14,823,137x = 32,120,527 × 32,120,527
  4. Step 4: Simplify right side
    14,823,137x = 1,031,728,254,757,729
  5. Step 5: Solve for x
    x = 1,031,728,254,757,729/14,823,137
  6. Step 6: Final answer
    x = 69,602,558.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.