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Finding the Third Proportional to 10,147,059,754 and 15,523,865,259

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Solution

The third proportional to 10,147,059,754 and 15,523,865,259 is: 23,749,775,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147,059,754 : 15,523,865,259 = 15,523,865,259 : x
  2. Step 2: Convert to fraction form
    10,147,059,754/15,523,865,259 = 15,523,865,259/x
  3. Step 3: Cross multiply
    10,147,059,754x = 15,523,865,259 × 15,523,865,259
  4. Step 4: Simplify right side
    10,147,059,754x = 240,990,392,579,587,145,728
  5. Step 5: Solve for x
    x = 240,990,392,579,587,145,728/10,147,059,754
  6. Step 6: Final answer
    x = 23,749,775,641.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.