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Finding the Third Proportional to 38,583,834,120 and 83,579,107,410

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Solution

The third proportional to 38,583,834,120 and 83,579,107,410 is: 181,046,475,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,583,834,120 : 83,579,107,410 = 83,579,107,410 : x
  2. Step 2: Convert to fraction form
    38,583,834,120/83,579,107,410 = 83,579,107,410/x
  3. Step 3: Cross multiply
    38,583,834,120x = 83,579,107,410 × 83,579,107,410
  4. Step 4: Simplify right side
    38,583,834,120x = 6,985,467,195,452,317,237,248
  5. Step 5: Solve for x
    x = 6,985,467,195,452,317,237,248/38,583,834,120
  6. Step 6: Final answer
    x = 181,046,475,934.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.