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Finding the Third Proportional to 763,085,856 and 1,652,942,709

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Solution

The third proportional to 763,085,856 and 1,652,942,709 is: 3,580,487,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,085,856 : 1,652,942,709 = 1,652,942,709 : x
  2. Step 2: Convert to fraction form
    763,085,856/1,652,942,709 = 1,652,942,709/x
  3. Step 3: Cross multiply
    763,085,856x = 1,652,942,709 × 1,652,942,709
  4. Step 4: Simplify right side
    763,085,856x = 2,732,219,599,236,258,816
  5. Step 5: Solve for x
    x = 2,732,219,599,236,258,816/763,085,856
  6. Step 6: Final answer
    x = 3,580,487,801.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.