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Finding the Third Proportional to 4,507,551,561 and 6,228,584,319

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Solution

The third proportional to 4,507,551,561 and 6,228,584,319 is: 8,606,726,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507,551,561 : 6,228,584,319 = 6,228,584,319 : x
  2. Step 2: Convert to fraction form
    4,507,551,561/6,228,584,319 = 6,228,584,319/x
  3. Step 3: Cross multiply
    4,507,551,561x = 6,228,584,319 × 6,228,584,319
  4. Step 4: Simplify right side
    4,507,551,561x = 38,795,262,618,892,697,600
  5. Step 5: Solve for x
    x = 38,795,262,618,892,697,600/4,507,551,561
  6. Step 6: Final answer
    x = 8,606,726,311.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.