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Finding the Third Proportional to 16,710,947,051 and 25,000,164,763

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Solution

The third proportional to 16,710,947,051 and 25,000,164,763 is: 37,401,126,116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,710,947,051 : 25,000,164,763 = 25,000,164,763 : x
  2. Step 2: Convert to fraction form
    16,710,947,051/25,000,164,763 = 25,000,164,763/x
  3. Step 3: Cross multiply
    16,710,947,051x = 25,000,164,763 × 25,000,164,763
  4. Step 4: Simplify right side
    16,710,947,051x = 625,008,238,177,146,896,384
  5. Step 5: Solve for x
    x = 625,008,238,177,146,896,384/16,710,947,051
  6. Step 6: Final answer
    x = 37,401,126,116.29

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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.