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Finding the Third Proportional to 436,872,878 and 938,579,854

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Solution

The third proportional to 436,872,878 and 938,579,854 is: 2,016,449,605.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,872,878 : 938,579,854 = 938,579,854 : x
  2. Step 2: Convert to fraction form
    436,872,878/938,579,854 = 938,579,854/x
  3. Step 3: Cross multiply
    436,872,878x = 938,579,854 × 938,579,854
  4. Step 4: Simplify right side
    436,872,878x = 880,932,142,334,661,376
  5. Step 5: Solve for x
    x = 880,932,142,334,661,376/436,872,878
  6. Step 6: Final answer
    x = 2,016,449,605.13

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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.