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Finding the Third Proportional to 1,377,717,095 and 2,127,492,064

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Solution

The third proportional to 1,377,717,095 and 2,127,492,064 is: 3,285,306,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377,717,095 : 2,127,492,064 = 2,127,492,064 : x
  2. Step 2: Convert to fraction form
    1,377,717,095/2,127,492,064 = 2,127,492,064/x
  3. Step 3: Cross multiply
    1,377,717,095x = 2,127,492,064 × 2,127,492,064
  4. Step 4: Simplify right side
    1,377,717,095x = 4,526,222,482,382,980,096
  5. Step 5: Solve for x
    x = 4,526,222,482,382,980,096/1,377,717,095
  6. Step 6: Final answer
    x = 3,285,306,177.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.