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Finding the Third Proportional to 671,426,632.69 and 1,444,889,967.75

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Solution

The third proportional to 671,426,632.69 and 1,444,889,967.75 is: 3,109,359,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,426,632.69 : 1,444,889,967.75 = 1,444,889,967.75 : x
  2. Step 2: Convert to fraction form
    671,426,632.69/1,444,889,967.75 = 1,444,889,967.75/x
  3. Step 3: Cross multiply
    671,426,632.69x = 1,444,889,967.75 × 1,444,889,967.75
  4. Step 4: Simplify right side
    671,426,632.69x = 2,087,707,018,904,595,968
  5. Step 5: Solve for x
    x = 2,087,707,018,904,595,968/671,426,632.69
  6. Step 6: Final answer
    x = 3,109,359,857.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.