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Finding the Third Proportional to 37,702,498.31 and 57,650,322.94

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Solution

The third proportional to 37,702,498.31 and 57,650,322.94 is: 88,152,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,702,498.31 : 57,650,322.94 = 57,650,322.94 : x
  2. Step 2: Convert to fraction form
    37,702,498.31/57,650,322.94 = 57,650,322.94/x
  3. Step 3: Cross multiply
    37,702,498.31x = 57,650,322.94 × 57,650,322.94
  4. Step 4: Simplify right side
    37,702,498.31x = 3,323,559,734,798,038.50
  5. Step 5: Solve for x
    x = 3,323,559,734,798,038.50/37,702,498.31
  6. Step 6: Final answer
    x = 88,152,241.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.