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Finding the Third Proportional to 57,832,983 and 77,102,046

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Solution

The third proportional to 57,832,983 and 77,102,046 is: 102,791,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,832,983 : 77,102,046 = 77,102,046 : x
  2. Step 2: Convert to fraction form
    57,832,983/77,102,046 = 77,102,046/x
  3. Step 3: Cross multiply
    57,832,983x = 77,102,046 × 77,102,046
  4. Step 4: Simplify right side
    57,832,983x = 5,944,725,497,386,116
  5. Step 5: Solve for x
    x = 5,944,725,497,386,116/57,832,983
  6. Step 6: Final answer
    x = 102,791,265.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.