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Finding the Third Proportional to 7,843,905,654 and 16,806,847,434

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Solution

The third proportional to 7,843,905,654 and 16,806,847,434 is: 36,011,412,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843,905,654 : 16,806,847,434 = 16,806,847,434 : x
  2. Step 2: Convert to fraction form
    7,843,905,654/16,806,847,434 = 16,806,847,434/x
  3. Step 3: Cross multiply
    7,843,905,654x = 16,806,847,434 × 16,806,847,434
  4. Step 4: Simplify right side
    7,843,905,654x = 282,470,120,669,752,393,728
  5. Step 5: Solve for x
    x = 282,470,120,669,752,393,728/7,843,905,654
  6. Step 6: Final answer
    x = 36,011,412,315.46

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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.