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Finding the Third Proportional to 19,736,101,682 and 43,088,799,516

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Solution

The third proportional to 19,736,101,682 and 43,088,799,516 is: 94,073,524,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,736,101,682 : 43,088,799,516 = 43,088,799,516 : x
  2. Step 2: Convert to fraction form
    19,736,101,682/43,088,799,516 = 43,088,799,516/x
  3. Step 3: Cross multiply
    19,736,101,682x = 43,088,799,516 × 43,088,799,516
  4. Step 4: Simplify right side
    19,736,101,682x = 1,856,644,643,730,041,864,192
  5. Step 5: Solve for x
    x = 1,856,644,643,730,041,864,192/19,736,101,682
  6. Step 6: Final answer
    x = 94,073,524,429.77

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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.