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Finding the Third Proportional to 2,570,878,238 and 3,620,363,076

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Solution

The third proportional to 2,570,878,238 and 3,620,363,076 is: 5,098,268,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570,878,238 : 3,620,363,076 = 3,620,363,076 : x
  2. Step 2: Convert to fraction form
    2,570,878,238/3,620,363,076 = 3,620,363,076/x
  3. Step 3: Cross multiply
    2,570,878,238x = 3,620,363,076 × 3,620,363,076
  4. Step 4: Simplify right side
    2,570,878,238x = 13,107,028,802,064,181,248
  5. Step 5: Solve for x
    x = 13,107,028,802,064,181,248/2,570,878,238
  6. Step 6: Final answer
    x = 5,098,268,991.63

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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.