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Finding the Third Proportional to 600,037,355.25 and 901,653,653.25

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Solution

The third proportional to 600,037,355.25 and 901,653,653.25 is: 1,354,881,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,037,355.25 : 901,653,653.25 = 901,653,653.25 : x
  2. Step 2: Convert to fraction form
    600,037,355.25/901,653,653.25 = 901,653,653.25/x
  3. Step 3: Cross multiply
    600,037,355.25x = 901,653,653.25 × 901,653,653.25
  4. Step 4: Simplify right side
    600,037,355.25x = 812,979,310,419,071,232
  5. Step 5: Solve for x
    x = 812,979,310,419,071,232/600,037,355.25
  6. Step 6: Final answer
    x = 1,354,881,164.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.