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Finding the Third Proportional to 5,060,777,698,016 and 7,709,571,934,788

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Solution

The third proportional to 5,060,777,698,016 and 7,709,571,934,788 is: 11,744,736,276,594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,060,777,698,016 : 7,709,571,934,788 = 7,709,571,934,788 : x
  2. Step 2: Convert to fraction form
    5,060,777,698,016/7,709,571,934,788 = 7,709,571,934,788/x
  3. Step 3: Cross multiply
    5,060,777,698,016x = 7,709,571,934,788 × 7,709,571,934,788
  4. Step 4: Simplify right side
    5,060,777,698,016x = 59,437,499,417,670,784,479,395,840
  5. Step 5: Solve for x
    x = 59,437,499,417,670,784,479,395,840/5,060,777,698,016
  6. Step 6: Final answer
    x = 11,744,736,276,594.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.