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Finding the Third Proportional to 983,125,296 and 2,105,704,008

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Solution

The third proportional to 983,125,296 and 2,105,704,008 is: 4,510,095,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,125,296 : 2,105,704,008 = 2,105,704,008 : x
  2. Step 2: Convert to fraction form
    983,125,296/2,105,704,008 = 2,105,704,008/x
  3. Step 3: Cross multiply
    983,125,296x = 2,105,704,008 × 2,105,704,008
  4. Step 4: Simplify right side
    983,125,296x = 4,433,989,369,307,264,000
  5. Step 5: Solve for x
    x = 4,433,989,369,307,264,000/983,125,296
  6. Step 6: Final answer
    x = 4,510,095,902.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.