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Finding the Third Proportional to 429,452,236,292.07 and 934,303,466,951.43

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Solution

The third proportional to 429,452,236,292.07 and 934,303,466,951.43 is: 2,032,642,735,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,452,236,292.07 : 934,303,466,951.43 = 934,303,466,951.43 : x
  2. Step 2: Convert to fraction form
    429,452,236,292.07/934,303,466,951.43 = 934,303,466,951.43/x
  3. Step 3: Cross multiply
    429,452,236,292.07x = 934,303,466,951.43 × 934,303,466,951.43
  4. Step 4: Simplify right side
    429,452,236,292.07x = 872,922,968,357,461,978,775,552
  5. Step 5: Solve for x
    x = 872,922,968,357,461,978,775,552/429,452,236,292.07
  6. Step 6: Final answer
    x = 2,032,642,735,532.96

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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.