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Finding the Third Proportional to 10,349,681,236 and 22,512,733,684

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Solution

The third proportional to 10,349,681,236 and 22,512,733,684 is: 48,969,931,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349,681,236 : 22,512,733,684 = 22,512,733,684 : x
  2. Step 2: Convert to fraction form
    10,349,681,236/22,512,733,684 = 22,512,733,684/x
  3. Step 3: Cross multiply
    10,349,681,236x = 22,512,733,684 × 22,512,733,684
  4. Step 4: Simplify right side
    10,349,681,236x = 506,823,177,926,708,232,192
  5. Step 5: Solve for x
    x = 506,823,177,926,708,232,192/10,349,681,236
  6. Step 6: Final answer
    x = 48,969,931,186.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.