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Finding the Third Proportional to 876,575,717.25 and 1,928,464,441.50

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Solution

The third proportional to 876,575,717.25 and 1,928,464,441.50 is: 4,242,617,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,575,717.25 : 1,928,464,441.50 = 1,928,464,441.50 : x
  2. Step 2: Convert to fraction form
    876,575,717.25/1,928,464,441.50 = 1,928,464,441.50/x
  3. Step 3: Cross multiply
    876,575,717.25x = 1,928,464,441.50 × 1,928,464,441.50
  4. Step 4: Simplify right side
    876,575,717.25x = 3,718,975,102,129,906,688
  5. Step 5: Solve for x
    x = 3,718,975,102,129,906,688/876,575,717.25
  6. Step 6: Final answer
    x = 4,242,617,071.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.