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Finding the Third Proportional to 7,763,789 and 16,330,732

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Solution

The third proportional to 7,763,789 and 16,330,732 is: 34,350,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763,789 : 16,330,732 = 16,330,732 : x
  2. Step 2: Convert to fraction form
    7,763,789/16,330,732 = 16,330,732/x
  3. Step 3: Cross multiply
    7,763,789x = 16,330,732 × 16,330,732
  4. Step 4: Simplify right side
    7,763,789x = 266,692,807,655,824
  5. Step 5: Solve for x
    x = 266,692,807,655,824/7,763,789
  6. Step 6: Final answer
    x = 34,350,857.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.