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Finding the Third Proportional to 974,370,261.75 and 2,273,609,186.63

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Solution

The third proportional to 974,370,261.75 and 2,273,609,186.63 is: 5,305,271,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,370,261.75 : 2,273,609,186.63 = 2,273,609,186.63 : x
  2. Step 2: Convert to fraction form
    974,370,261.75/2,273,609,186.63 = 2,273,609,186.63/x
  3. Step 3: Cross multiply
    974,370,261.75x = 2,273,609,186.63 × 2,273,609,186.63
  4. Step 4: Simplify right side
    974,370,261.75x = 5,169,298,733,505,594,368
  5. Step 5: Solve for x
    x = 5,169,298,733,505,594,368/974,370,261.75
  6. Step 6: Final answer
    x = 5,305,271,452.17

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.