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Finding the Third Proportional to 46,859,052,750 and 71,384,925,309

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Solution

The third proportional to 46,859,052,750 and 71,384,925,309 is: 108,747,558,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,859,052,750 : 71,384,925,309 = 71,384,925,309 : x
  2. Step 2: Convert to fraction form
    46,859,052,750/71,384,925,309 = 71,384,925,309/x
  3. Step 3: Cross multiply
    46,859,052,750x = 71,384,925,309 × 71,384,925,309
  4. Step 4: Simplify right side
    46,859,052,750x = 5,095,807,561,371,508,277,248
  5. Step 5: Solve for x
    x = 5,095,807,561,371,508,277,248/46,859,052,750
  6. Step 6: Final answer
    x = 108,747,558,098.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.