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Finding the Third Proportional to 4,146,890,475 and 9,139,049,283

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Solution

The third proportional to 4,146,890,475 and 9,139,049,283 is: 20,140,927,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146,890,475 : 9,139,049,283 = 9,139,049,283 : x
  2. Step 2: Convert to fraction form
    4,146,890,475/9,139,049,283 = 9,139,049,283/x
  3. Step 3: Cross multiply
    4,146,890,475x = 9,139,049,283 × 9,139,049,283
  4. Step 4: Simplify right side
    4,146,890,475x = 83,522,221,797,102,813,184
  5. Step 5: Solve for x
    x = 83,522,221,797,102,813,184/4,146,890,475
  6. Step 6: Final answer
    x = 20,140,927,835.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.