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Finding the Third Proportional to 42,457,795.31 and 67,107,776.06

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Solution

The third proportional to 42,457,795.31 and 67,107,776.06 is: 106,068,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,457,795.31 : 67,107,776.06 = 67,107,776.06 : x
  2. Step 2: Convert to fraction form
    42,457,795.31/67,107,776.06 = 67,107,776.06/x
  3. Step 3: Cross multiply
    42,457,795.31x = 67,107,776.06 × 67,107,776.06
  4. Step 4: Simplify right side
    42,457,795.31x = 4,503,453,608,054,648
  5. Step 5: Solve for x
    x = 4,503,453,608,054,648/42,457,795.31
  6. Step 6: Final answer
    x = 106,068,946.23

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.