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Finding the Third Proportional to 74,913,872,472 and 108,237,608,370

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Solution

The third proportional to 74,913,872,472 and 108,237,608,370 is: 156,384,651,855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,913,872,472 : 108,237,608,370 = 108,237,608,370 : x
  2. Step 2: Convert to fraction form
    74,913,872,472/108,237,608,370 = 108,237,608,370/x
  3. Step 3: Cross multiply
    74,913,872,472x = 108,237,608,370 × 108,237,608,370
  4. Step 4: Simplify right side
    74,913,872,472x = 11,715,379,865,657,494,470,656
  5. Step 5: Solve for x
    x = 11,715,379,865,657,494,470,656/74,913,872,472
  6. Step 6: Final answer
    x = 156,384,651,855.19

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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.