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Finding the Third Proportional to 38,326,571,316 and 83,401,976,748

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Solution

The third proportional to 38,326,571,316 and 83,401,976,748 is: 181,490,007,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,326,571,316 : 83,401,976,748 = 83,401,976,748 : x
  2. Step 2: Convert to fraction form
    38,326,571,316/83,401,976,748 = 83,401,976,748/x
  3. Step 3: Cross multiply
    38,326,571,316x = 83,401,976,748 × 83,401,976,748
  4. Step 4: Simplify right side
    38,326,571,316x = 6,955,889,725,473,932,967,936
  5. Step 5: Solve for x
    x = 6,955,889,725,473,932,967,936/38,326,571,316
  6. Step 6: Final answer
    x = 181,490,007,757.88

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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.