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Finding the Third Proportional to 235,646,036 and 495,712,114

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Solution

The third proportional to 235,646,036 and 495,712,114 is: 1,042,794,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,646,036 : 495,712,114 = 495,712,114 : x
  2. Step 2: Convert to fraction form
    235,646,036/495,712,114 = 495,712,114/x
  3. Step 3: Cross multiply
    235,646,036x = 495,712,114 × 495,712,114
  4. Step 4: Simplify right side
    235,646,036x = 245,730,499,966,348,992
  5. Step 5: Solve for x
    x = 245,730,499,966,348,992/235,646,036
  6. Step 6: Final answer
    x = 1,042,794,965.44

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.