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Finding the Third Proportional to 959,246,216 and 2,087,403,795

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Solution

The third proportional to 959,246,216 and 2,087,403,795 is: 4,542,373,512.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,246,216 : 2,087,403,795 = 2,087,403,795 : x
  2. Step 2: Convert to fraction form
    959,246,216/2,087,403,795 = 2,087,403,795/x
  3. Step 3: Cross multiply
    959,246,216x = 2,087,403,795 × 2,087,403,795
  4. Step 4: Simplify right side
    959,246,216x = 4,357,254,603,380,402,176
  5. Step 5: Solve for x
    x = 4,357,254,603,380,402,176/959,246,216
  6. Step 6: Final answer
    x = 4,542,373,512.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.