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Finding the Third Proportional to 2,125,703,056 and 2,992,153,900

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Solution

The third proportional to 2,125,703,056 and 2,992,153,900 is: 4,211,775,927.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,703,056 : 2,992,153,900 = 2,992,153,900 : x
  2. Step 2: Convert to fraction form
    2,125,703,056/2,992,153,900 = 2,992,153,900/x
  3. Step 3: Cross multiply
    2,125,703,056x = 2,992,153,900 × 2,992,153,900
  4. Step 4: Simplify right side
    2,125,703,056x = 8,952,984,961,285,210,112
  5. Step 5: Solve for x
    x = 8,952,984,961,285,210,112/2,125,703,056
  6. Step 6: Final answer
    x = 4,211,775,927.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.