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Finding the Third Proportional to 16,698,444,897 and 35,787,221,745

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Solution

The third proportional to 16,698,444,897 and 35,787,221,745 is: 76,697,276,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,698,444,897 : 35,787,221,745 = 35,787,221,745 : x
  2. Step 2: Convert to fraction form
    16,698,444,897/35,787,221,745 = 35,787,221,745/x
  3. Step 3: Cross multiply
    16,698,444,897x = 35,787,221,745 × 35,787,221,745
  4. Step 4: Simplify right side
    16,698,444,897x = 1,280,725,240,225,800,912,896
  5. Step 5: Solve for x
    x = 1,280,725,240,225,800,912,896/16,698,444,897
  6. Step 6: Final answer
    x = 76,697,276,191.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.