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Finding the Third Proportional to 2,277,774,724 and 3,549,832,181

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Solution

The third proportional to 2,277,774,724 and 3,549,832,181 is: 5,532,289,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277,774,724 : 3,549,832,181 = 3,549,832,181 : x
  2. Step 2: Convert to fraction form
    2,277,774,724/3,549,832,181 = 3,549,832,181/x
  3. Step 3: Cross multiply
    2,277,774,724x = 3,549,832,181 × 3,549,832,181
  4. Step 4: Simplify right side
    2,277,774,724x = 12,601,308,513,263,216,640
  5. Step 5: Solve for x
    x = 12,601,308,513,263,216,640/2,277,774,724
  6. Step 6: Final answer
    x = 5,532,289,203.36

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.