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Finding the Third Proportional to 719,494,902,742.50 and 1,599,858,596,505

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Solution

The third proportional to 719,494,902,742.50 and 1,599,858,596,505 is: 3,557,422,740,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,494,902,742.50 : 1,599,858,596,505 = 1,599,858,596,505 : x
  2. Step 2: Convert to fraction form
    719,494,902,742.50/1,599,858,596,505 = 1,599,858,596,505/x
  3. Step 3: Cross multiply
    719,494,902,742.50x = 1,599,858,596,505 × 1,599,858,596,505
  4. Step 4: Simplify right side
    719,494,902,742.50x = 2,559,547,528,810,948,252,925,952
  5. Step 5: Solve for x
    x = 2,559,547,528,810,948,252,925,952/719,494,902,742.50
  6. Step 6: Final answer
    x = 3,557,422,740,668.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.