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Finding the Third Proportional to 2,570,878,316 and 3,620,363,181

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Solution

The third proportional to 2,570,878,316 and 3,620,363,181 is: 5,098,269,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570,878,316 : 3,620,363,181 = 3,620,363,181 : x
  2. Step 2: Convert to fraction form
    2,570,878,316/3,620,363,181 = 3,620,363,181/x
  3. Step 3: Cross multiply
    2,570,878,316x = 3,620,363,181 × 3,620,363,181
  4. Step 4: Simplify right side
    2,570,878,316x = 13,107,029,562,340,438,016
  5. Step 5: Solve for x
    x = 13,107,029,562,340,438,016/2,570,878,316
  6. Step 6: Final answer
    x = 5,098,269,132.68

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.