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Finding the Third Proportional to 2,277,774,726 and 3,549,832,184

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Solution

The third proportional to 2,277,774,726 and 3,549,832,184 is: 5,532,289,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277,774,726 : 3,549,832,184 = 3,549,832,184 : x
  2. Step 2: Convert to fraction form
    2,277,774,726/3,549,832,184 = 3,549,832,184/x
  3. Step 3: Cross multiply
    2,277,774,726x = 3,549,832,184 × 3,549,832,184
  4. Step 4: Simplify right side
    2,277,774,726x = 12,601,308,534,562,209,792
  5. Step 5: Solve for x
    x = 12,601,308,534,562,209,792/2,277,774,726
  6. Step 6: Final answer
    x = 5,532,289,207.85

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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.