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Finding the Third Proportional to 8,151,646,054 and 17,778,970,316

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Solution

The third proportional to 8,151,646,054 and 17,778,970,316 is: 38,776,436,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151,646,054 : 17,778,970,316 = 17,778,970,316 : x
  2. Step 2: Convert to fraction form
    8,151,646,054/17,778,970,316 = 17,778,970,316/x
  3. Step 3: Cross multiply
    8,151,646,054x = 17,778,970,316 × 17,778,970,316
  4. Step 4: Simplify right side
    8,151,646,054x = 316,091,785,497,209,143,296
  5. Step 5: Solve for x
    x = 316,091,785,497,209,143,296/8,151,646,054
  6. Step 6: Final answer
    x = 38,776,436,489.43

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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.