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Finding the Third Proportional to 1,819,543,425 and 2,600,174,967.50

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Solution

The third proportional to 1,819,543,425 and 2,600,174,967.50 is: 3,715,717,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819,543,425 : 2,600,174,967.50 = 2,600,174,967.50 : x
  2. Step 2: Convert to fraction form
    1,819,543,425/2,600,174,967.50 = 2,600,174,967.50/x
  3. Step 3: Cross multiply
    1,819,543,425x = 2,600,174,967.50 × 2,600,174,967.50
  4. Step 4: Simplify right side
    1,819,543,425x = 6,760,909,861,613,626,368
  5. Step 5: Solve for x
    x = 6,760,909,861,613,626,368/1,819,543,425
  6. Step 6: Final answer
    x = 3,715,717,783.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.