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Finding the Third Proportional to 429,452,236,290.38 and 934,303,466,948.04

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Solution

The third proportional to 429,452,236,290.38 and 934,303,466,948.04 is: 2,032,642,735,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,452,236,290.38 : 934,303,466,948.04 = 934,303,466,948.04 : x
  2. Step 2: Convert to fraction form
    429,452,236,290.38/934,303,466,948.04 = 934,303,466,948.04/x
  3. Step 3: Cross multiply
    429,452,236,290.38x = 934,303,466,948.04 × 934,303,466,948.04
  4. Step 4: Simplify right side
    429,452,236,290.38x = 872,922,968,351,127,304,667,136
  5. Step 5: Solve for x
    x = 872,922,968,351,127,304,667,136/429,452,236,290.38
  6. Step 6: Final answer
    x = 2,032,642,735,526.21

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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.