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Finding the Third Proportional to 34,477,431.47 and 51,417,165.66

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Solution

The third proportional to 34,477,431.47 and 51,417,165.66 is: 76,679,868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,477,431.47 : 51,417,165.66 = 51,417,165.66 : x
  2. Step 2: Convert to fraction form
    34,477,431.47/51,417,165.66 = 51,417,165.66/x
  3. Step 3: Cross multiply
    34,477,431.47x = 51,417,165.66 × 51,417,165.66
  4. Step 4: Simplify right side
    34,477,431.47x = 2,643,724,924,122,254.50
  5. Step 5: Solve for x
    x = 2,643,724,924,122,254.50/34,477,431.47
  6. Step 6: Final answer
    x = 76,679,868.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.