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Finding the Third Proportional to 355,156,566,016 and 838,105,932,492

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Solution

The third proportional to 355,156,566,016 and 838,105,932,492 is: 1,977,780,002,655.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,156,566,016 : 838,105,932,492 = 838,105,932,492 : x
  2. Step 2: Convert to fraction form
    355,156,566,016/838,105,932,492 = 838,105,932,492/x
  3. Step 3: Cross multiply
    355,156,566,016x = 838,105,932,492 × 838,105,932,492
  4. Step 4: Simplify right side
    355,156,566,016x = 702,421,554,078,284,909,641,728
  5. Step 5: Solve for x
    x = 702,421,554,078,284,909,641,728/355,156,566,016
  6. Step 6: Final answer
    x = 1,977,780,002,655.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.