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Finding the Third Proportional to 370,205,021,410.26 and 750,819,365,488.20

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Solution

The third proportional to 370,205,021,410.26 and 750,819,365,488.20 is: 1,522,750,062,775.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,205,021,410.26 : 750,819,365,488.20 = 750,819,365,488.20 : x
  2. Step 2: Convert to fraction form
    370,205,021,410.26/750,819,365,488.20 = 750,819,365,488.20/x
  3. Step 3: Cross multiply
    370,205,021,410.26x = 750,819,365,488.20 × 750,819,365,488.20
  4. Step 4: Simplify right side
    370,205,021,410.26x = 563,729,719,592,103,199,113,216
  5. Step 5: Solve for x
    x = 563,729,719,592,103,199,113,216/370,205,021,410.26
  6. Step 6: Final answer
    x = 1,522,750,062,775.03

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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.