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Finding the Third Proportional to 52,060,284,334 and 73,312,352,324

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Solution

The third proportional to 52,060,284,334 and 73,312,352,324 is: 103,239,947,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,060,284,334 : 73,312,352,324 = 73,312,352,324 : x
  2. Step 2: Convert to fraction form
    52,060,284,334/73,312,352,324 = 73,312,352,324/x
  3. Step 3: Cross multiply
    52,060,284,334x = 73,312,352,324 × 73,312,352,324
  4. Step 4: Simplify right side
    52,060,284,334x = 5,374,701,003,278,308,605,952
  5. Step 5: Solve for x
    x = 5,374,701,003,278,308,605,952/52,060,284,334
  6. Step 6: Final answer
    x = 103,239,947,150.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.