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Finding the Third Proportional to 14,783,839,046 and 22,548,121,689

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Solution

The third proportional to 14,783,839,046 and 22,548,121,689 is: 34,390,105,988.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783,839,046 : 22,548,121,689 = 22,548,121,689 : x
  2. Step 2: Convert to fraction form
    14,783,839,046/22,548,121,689 = 22,548,121,689/x
  3. Step 3: Cross multiply
    14,783,839,046x = 22,548,121,689 × 22,548,121,689
  4. Step 4: Simplify right side
    14,783,839,046x = 508,417,791,701,952,233,472
  5. Step 5: Solve for x
    x = 508,417,791,701,952,233,472/14,783,839,046
  6. Step 6: Final answer
    x = 34,390,105,988.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.