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Finding the Third Proportional to 671,426,643 and 1,444,889,989.50

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Solution

The third proportional to 671,426,643 and 1,444,889,989.50 is: 3,109,359,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,426,643 : 1,444,889,989.50 = 1,444,889,989.50 : x
  2. Step 2: Convert to fraction form
    671,426,643/1,444,889,989.50 = 1,444,889,989.50/x
  3. Step 3: Cross multiply
    671,426,643x = 1,444,889,989.50 × 1,444,889,989.50
  4. Step 4: Simplify right side
    671,426,643x = 2,087,707,081,757,310,208
  5. Step 5: Solve for x
    x = 2,087,707,081,757,310,208/671,426,643
  6. Step 6: Final answer
    x = 3,109,359,903.31

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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.