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Finding the Third Proportional to 764,207,284 and 1,637,458,424

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Solution

The third proportional to 764,207,284 and 1,637,458,424 is: 3,508,563,902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,207,284 : 1,637,458,424 = 1,637,458,424 : x
  2. Step 2: Convert to fraction form
    764,207,284/1,637,458,424 = 1,637,458,424/x
  3. Step 3: Cross multiply
    764,207,284x = 1,637,458,424 × 1,637,458,424
  4. Step 4: Simplify right side
    764,207,284x = 2,681,270,090,328,563,712
  5. Step 5: Solve for x
    x = 2,681,270,090,328,563,712/764,207,284
  6. Step 6: Final answer
    x = 3,508,563,902.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.