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Finding the Third Proportional to 55,847,072,594 and 78,364,498,314

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Solution

The third proportional to 55,847,072,594 and 78,364,498,314 is: 109,960,904,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,847,072,594 : 78,364,498,314 = 78,364,498,314 : x
  2. Step 2: Convert to fraction form
    55,847,072,594/78,364,498,314 = 78,364,498,314/x
  3. Step 3: Cross multiply
    55,847,072,594x = 78,364,498,314 × 78,364,498,314
  4. Step 4: Simplify right side
    55,847,072,594x = 6,140,994,596,004,909,023,232
  5. Step 5: Solve for x
    x = 6,140,994,596,004,909,023,232/55,847,072,594
  6. Step 6: Final answer
    x = 109,960,904,139.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.