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Finding the Third Proportional to 945,899,908 and 2,210,049,094

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Solution

The third proportional to 945,899,908 and 2,210,049,094 is: 5,163,672,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,899,908 : 2,210,049,094 = 2,210,049,094 : x
  2. Step 2: Convert to fraction form
    945,899,908/2,210,049,094 = 2,210,049,094/x
  3. Step 3: Cross multiply
    945,899,908x = 2,210,049,094 × 2,210,049,094
  4. Step 4: Simplify right side
    945,899,908x = 4,884,316,997,890,221,056
  5. Step 5: Solve for x
    x = 4,884,316,997,890,221,056/945,899,908
  6. Step 6: Final answer
    x = 5,163,672,135.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.