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Finding the Third Proportional to 429,452,236,301.07 and 934,303,466,969.40

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Solution

The third proportional to 429,452,236,301.07 and 934,303,466,969.40 is: 2,032,642,735,568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,452,236,301.07 : 934,303,466,969.40 = 934,303,466,969.40 : x
  2. Step 2: Convert to fraction form
    429,452,236,301.07/934,303,466,969.40 = 934,303,466,969.40/x
  3. Step 3: Cross multiply
    429,452,236,301.07x = 934,303,466,969.40 × 934,303,466,969.40
  4. Step 4: Simplify right side
    429,452,236,301.07x = 872,922,968,391,040,704,184,320
  5. Step 5: Solve for x
    x = 872,922,968,391,040,704,184,320/429,452,236,301.07
  6. Step 6: Final answer
    x = 2,032,642,735,568.56

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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.