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Finding the Third Proportional to 429,452,236,306 and 934,303,466,979.50

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Solution

The third proportional to 429,452,236,306 and 934,303,466,979.50 is: 2,032,642,735,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,452,236,306 : 934,303,466,979.50 = 934,303,466,979.50 : x
  2. Step 2: Convert to fraction form
    429,452,236,306/934,303,466,979.50 = 934,303,466,979.50/x
  3. Step 3: Cross multiply
    429,452,236,306x = 934,303,466,979.50 × 934,303,466,979.50
  4. Step 4: Simplify right side
    429,452,236,306x = 872,922,968,409,913,595,789,312
  5. Step 5: Solve for x
    x = 872,922,968,409,913,595,789,312/429,452,236,306
  6. Step 6: Final answer
    x = 2,032,642,735,589.17

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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.