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Finding the Third Proportional to 370,205,021,428 and 750,819,365,524

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Solution

The third proportional to 370,205,021,428 and 750,819,365,524 is: 1,522,750,062,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,205,021,428 : 750,819,365,524 = 750,819,365,524 : x
  2. Step 2: Convert to fraction form
    370,205,021,428/750,819,365,524 = 750,819,365,524/x
  3. Step 3: Cross multiply
    370,205,021,428x = 750,819,365,524 × 750,819,365,524
  4. Step 4: Simplify right side
    370,205,021,428x = 563,729,719,645,861,895,471,104
  5. Step 5: Solve for x
    x = 563,729,719,645,861,895,471,104/370,205,021,428
  6. Step 6: Final answer
    x = 1,522,750,062,847.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.