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Finding the Third Proportional to 7,419,348,888 and 16,000,926,420

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Solution

The third proportional to 7,419,348,888 and 16,000,926,420 is: 34,508,371,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419,348,888 : 16,000,926,420 = 16,000,926,420 : x
  2. Step 2: Convert to fraction form
    7,419,348,888/16,000,926,420 = 16,000,926,420/x
  3. Step 3: Cross multiply
    7,419,348,888x = 16,000,926,420 × 16,000,926,420
  4. Step 4: Simplify right side
    7,419,348,888x = 256,029,646,298,254,016,512
  5. Step 5: Solve for x
    x = 256,029,646,298,254,016,512/7,419,348,888
  6. Step 6: Final answer
    x = 34,508,371,309.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.