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Finding the Third Proportional to 9,686,823,513 and 15,162,524,490

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Solution

The third proportional to 9,686,823,513 and 15,162,524,490 is: 23,733,492,057.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686,823,513 : 15,162,524,490 = 15,162,524,490 : x
  2. Step 2: Convert to fraction form
    9,686,823,513/15,162,524,490 = 15,162,524,490/x
  3. Step 3: Cross multiply
    9,686,823,513x = 15,162,524,490 × 15,162,524,490
  4. Step 4: Simplify right side
    9,686,823,513x = 229,902,148,909,849,772,032
  5. Step 5: Solve for x
    x = 229,902,148,909,849,772,032/9,686,823,513
  6. Step 6: Final answer
    x = 23,733,492,057.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.