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Finding the Third Proportional to 74,913,856,840 and 108,237,586,408

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Solution

The third proportional to 74,913,856,840 and 108,237,586,408 is: 156,384,621,024.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,913,856,840 : 108,237,586,408 = 108,237,586,408 : x
  2. Step 2: Convert to fraction form
    74,913,856,840/108,237,586,408 = 108,237,586,408/x
  3. Step 3: Cross multiply
    74,913,856,840x = 108,237,586,408 × 108,237,586,408
  4. Step 4: Simplify right side
    74,913,856,840x = 11,715,375,111,429,265,817,600
  5. Step 5: Solve for x
    x = 11,715,375,111,429,265,817,600/74,913,856,840
  6. Step 6: Final answer
    x = 156,384,621,024.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.