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Finding the Third Proportional to 429,452,236,310.50 and 934,303,466,987.50

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Solution

The third proportional to 429,452,236,310.50 and 934,303,466,987.50 is: 2,032,642,735,602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,452,236,310.50 : 934,303,466,987.50 = 934,303,466,987.50 : x
  2. Step 2: Convert to fraction form
    429,452,236,310.50/934,303,466,987.50 = 934,303,466,987.50/x
  3. Step 3: Cross multiply
    429,452,236,310.50x = 934,303,466,987.50 × 934,303,466,987.50
  4. Step 4: Simplify right side
    429,452,236,310.50x = 872,922,968,424,862,497,898,496
  5. Step 5: Solve for x
    x = 872,922,968,424,862,497,898,496/429,452,236,310.50
  6. Step 6: Final answer
    x = 2,032,642,735,602.68

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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.