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Finding the Third Proportional to 956,522,380,684 and 2,108,014,486,058

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Solution

The third proportional to 956,522,380,684 and 2,108,014,486,058 is: 4,645,709,460,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    956,522,380,684 : 2,108,014,486,058 = 2,108,014,486,058 : x
  2. Step 2: Convert to fraction form
    956,522,380,684/2,108,014,486,058 = 2,108,014,486,058/x
  3. Step 3: Cross multiply
    956,522,380,684x = 2,108,014,486,058 × 2,108,014,486,058
  4. Step 4: Simplify right side
    956,522,380,684x = 4,443,725,073,430,373,747,130,368
  5. Step 5: Solve for x
    x = 4,443,725,073,430,373,747,130,368/956,522,380,684
  6. Step 6: Final answer
    x = 4,645,709,460,820.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.