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Finding the Third Proportional to 292,873,574 and 642,014,284

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Solution

The third proportional to 292,873,574 and 642,014,284 is: 1,407,372,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,873,574 : 642,014,284 = 642,014,284 : x
  2. Step 2: Convert to fraction form
    292,873,574/642,014,284 = 642,014,284/x
  3. Step 3: Cross multiply
    292,873,574x = 642,014,284 × 642,014,284
  4. Step 4: Simplify right side
    292,873,574x = 412,182,340,860,032,640
  5. Step 5: Solve for x
    x = 412,182,340,860,032,640/292,873,574
  6. Step 6: Final answer
    x = 1,407,372,933.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.