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Finding the Third Proportional to 454,250,774.25 and 971,455,133.25

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Solution

The third proportional to 454,250,774.25 and 971,455,133.25 is: 2,077,542,030.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,250,774.25 : 971,455,133.25 = 971,455,133.25 : x
  2. Step 2: Convert to fraction form
    454,250,774.25/971,455,133.25 = 971,455,133.25/x
  3. Step 3: Cross multiply
    454,250,774.25x = 971,455,133.25 × 971,455,133.25
  4. Step 4: Simplify right side
    454,250,774.25x = 943,725,075,917,775,232
  5. Step 5: Solve for x
    x = 943,725,075,917,775,232/454,250,774.25
  6. Step 6: Final answer
    x = 2,077,542,030.56

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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.