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Finding the Third Proportional to 29,835,836 and 42,113,076

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Solution

The third proportional to 29,835,836 and 42,113,076 is: 59,442,315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835,836 : 42,113,076 = 42,113,076 : x
  2. Step 2: Convert to fraction form
    29,835,836/42,113,076 = 42,113,076/x
  3. Step 3: Cross multiply
    29,835,836x = 42,113,076 × 42,113,076
  4. Step 4: Simplify right side
    29,835,836x = 1,773,511,170,181,776
  5. Step 5: Solve for x
    x = 1,773,511,170,181,776/29,835,836
  6. Step 6: Final answer
    x = 59,442,315.28

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Why These Related Problems?

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