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Finding the Third Proportional to 10,349,681,596 and 22,512,734,199

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Solution

The third proportional to 10,349,681,596 and 22,512,734,199 is: 48,969,931,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349,681,596 : 22,512,734,199 = 22,512,734,199 : x
  2. Step 2: Convert to fraction form
    10,349,681,596/22,512,734,199 = 22,512,734,199/x
  3. Step 3: Cross multiply
    10,349,681,596x = 22,512,734,199 × 22,512,734,199
  4. Step 4: Simplify right side
    10,349,681,596x = 506,823,201,114,824,179,712
  5. Step 5: Solve for x
    x = 506,823,201,114,824,179,712/10,349,681,596
  6. Step 6: Final answer
    x = 48,969,931,723.38

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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.