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Finding the Third Proportional to 10,147,059,756 and 15,523,865,262

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Solution

The third proportional to 10,147,059,756 and 15,523,865,262 is: 23,749,775,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147,059,756 : 15,523,865,262 = 15,523,865,262 : x
  2. Step 2: Convert to fraction form
    10,147,059,756/15,523,865,262 = 15,523,865,262/x
  3. Step 3: Cross multiply
    10,147,059,756x = 15,523,865,262 × 15,523,865,262
  4. Step 4: Simplify right side
    10,147,059,756x = 240,990,392,672,730,316,800
  5. Step 5: Solve for x
    x = 240,990,392,672,730,316,800/10,147,059,756
  6. Step 6: Final answer
    x = 23,749,775,646.12

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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.