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Finding the Third Proportional to 763,085,854 and 1,652,942,700

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Solution

The third proportional to 763,085,854 and 1,652,942,700 is: 3,580,487,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,085,854 : 1,652,942,700 = 1,652,942,700 : x
  2. Step 2: Convert to fraction form
    763,085,854/1,652,942,700 = 1,652,942,700/x
  3. Step 3: Cross multiply
    763,085,854x = 1,652,942,700 × 1,652,942,700
  4. Step 4: Simplify right side
    763,085,854x = 2,732,219,569,483,290,112
  5. Step 5: Solve for x
    x = 2,732,219,569,483,290,112/763,085,854
  6. Step 6: Final answer
    x = 3,580,487,772.33

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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.