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Finding the Third Proportional to 2,277,774,730 and 3,549,832,190

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Solution

The third proportional to 2,277,774,730 and 3,549,832,190 is: 5,532,289,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277,774,730 : 3,549,832,190 = 3,549,832,190 : x
  2. Step 2: Convert to fraction form
    2,277,774,730/3,549,832,190 = 3,549,832,190/x
  3. Step 3: Cross multiply
    2,277,774,730x = 3,549,832,190 × 3,549,832,190
  4. Step 4: Simplify right side
    2,277,774,730x = 12,601,308,577,160,196,096
  5. Step 5: Solve for x
    x = 12,601,308,577,160,196,096/2,277,774,730
  6. Step 6: Final answer
    x = 5,532,289,216.84

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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.