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Finding the Third Proportional to 77,862,876 and 168,036,681

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Solution

The third proportional to 77,862,876 and 168,036,681 is: 362,641,705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,862,876 : 168,036,681 = 168,036,681 : x
  2. Step 2: Convert to fraction form
    77,862,876/168,036,681 = 168,036,681/x
  3. Step 3: Cross multiply
    77,862,876x = 168,036,681 × 168,036,681
  4. Step 4: Simplify right side
    77,862,876x = 28,236,326,161,495,760
  5. Step 5: Solve for x
    x = 28,236,326,161,495,760/77,862,876
  6. Step 6: Final answer
    x = 362,641,705.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.