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Finding the Third Proportional to 57,444,486,161 and 125,710,254,312

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Solution

The third proportional to 57,444,486,161 and 125,710,254,312 is: 275,101,564,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,444,486,161 : 125,710,254,312 = 125,710,254,312 : x
  2. Step 2: Convert to fraction form
    57,444,486,161/125,710,254,312 = 125,710,254,312/x
  3. Step 3: Cross multiply
    57,444,486,161x = 125,710,254,312 × 125,710,254,312
  4. Step 4: Simplify right side
    57,444,486,161x = 15,803,068,039,187,715,325,952
  5. Step 5: Solve for x
    x = 15,803,068,039,187,715,325,952/57,444,486,161
  6. Step 6: Final answer
    x = 275,101,564,924.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.