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Finding the Third Proportional to 10,349,681,306 and 22,512,733,792

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Solution

The third proportional to 10,349,681,306 and 22,512,733,792 is: 48,969,931,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349,681,306 : 22,512,733,792 = 22,512,733,792 : x
  2. Step 2: Convert to fraction form
    10,349,681,306/22,512,733,792 = 22,512,733,792/x
  3. Step 3: Cross multiply
    10,349,681,306x = 22,512,733,792 × 22,512,733,792
  4. Step 4: Simplify right side
    10,349,681,306x = 506,823,182,789,458,722,816
  5. Step 5: Solve for x
    x = 506,823,182,789,458,722,816/10,349,681,306
  6. Step 6: Final answer
    x = 48,969,931,324.90

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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.