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Finding the Third Proportional to 314,549,330,848 and 693,213,834,560

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Solution

The third proportional to 314,549,330,848 and 693,213,834,560 is: 1,527,726,729,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,549,330,848 : 693,213,834,560 = 693,213,834,560 : x
  2. Step 2: Convert to fraction form
    314,549,330,848/693,213,834,560 = 693,213,834,560/x
  3. Step 3: Cross multiply
    314,549,330,848x = 693,213,834,560 × 693,213,834,560
  4. Step 4: Simplify right side
    314,549,330,848x = 480,545,420,425,379,037,839,360
  5. Step 5: Solve for x
    x = 480,545,420,425,379,037,839,360/314,549,330,848
  6. Step 6: Final answer
    x = 1,527,726,729,317.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.