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Finding the Third Proportional to 862,797,652,688 and 1,875,769,848,720

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Solution

The third proportional to 862,797,652,688 and 1,875,769,848,720 is: 4,078,027,466,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,797,652,688 : 1,875,769,848,720 = 1,875,769,848,720 : x
  2. Step 2: Convert to fraction form
    862,797,652,688/1,875,769,848,720 = 1,875,769,848,720/x
  3. Step 3: Cross multiply
    862,797,652,688x = 1,875,769,848,720 × 1,875,769,848,720
  4. Step 4: Simplify right side
    862,797,652,688x = 3,518,512,525,367,051,431,182,336
  5. Step 5: Solve for x
    x = 3,518,512,525,367,051,431,182,336/862,797,652,688
  6. Step 6: Final answer
    x = 4,078,027,466,121.77

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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.