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Finding the Third Proportional to 455,427,248.75 and 699,713,633.25

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Solution

The third proportional to 455,427,248.75 and 699,713,633.25 is: 1,075,032,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,427,248.75 : 699,713,633.25 = 699,713,633.25 : x
  2. Step 2: Convert to fraction form
    455,427,248.75/699,713,633.25 = 699,713,633.25/x
  3. Step 3: Cross multiply
    455,427,248.75x = 699,713,633.25 × 699,713,633.25
  4. Step 4: Simplify right side
    455,427,248.75x = 489,599,168,555,915,520
  5. Step 5: Solve for x
    x = 489,599,168,555,915,520/455,427,248.75
  6. Step 6: Final answer
    x = 1,075,032,664.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.