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Finding the Third Proportional to 162,254,320,592 and 346,838,140,576

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Solution

The third proportional to 162,254,320,592 and 346,838,140,576 is: 741,408,273,870.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,254,320,592 : 346,838,140,576 = 346,838,140,576 : x
  2. Step 2: Convert to fraction form
    162,254,320,592/346,838,140,576 = 346,838,140,576/x
  3. Step 3: Cross multiply
    162,254,320,592x = 346,838,140,576 × 346,838,140,576
  4. Step 4: Simplify right side
    162,254,320,592x = 120,296,695,758,217,143,123,968
  5. Step 5: Solve for x
    x = 120,296,695,758,217,143,123,968/162,254,320,592
  6. Step 6: Final answer
    x = 741,408,273,870.94

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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.