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Finding the Third Proportional to 10,183,512,588 and 15,212,552,274

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Solution

The third proportional to 10,183,512,588 and 15,212,552,274 is: 22,725,139,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,183,512,588 : 15,212,552,274 = 15,212,552,274 : x
  2. Step 2: Convert to fraction form
    10,183,512,588/15,212,552,274 = 15,212,552,274/x
  3. Step 3: Cross multiply
    10,183,512,588x = 15,212,552,274 × 15,212,552,274
  4. Step 4: Simplify right side
    10,183,512,588x = 231,421,746,689,182,564,352
  5. Step 5: Solve for x
    x = 231,421,746,689,182,564,352/10,183,512,588
  6. Step 6: Final answer
    x = 22,725,139,748.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.