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Finding the Third Proportional to 46,977,133 and 71,869,754

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Solution

The third proportional to 46,977,133 and 71,869,754 is: 109,952,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,977,133 : 71,869,754 = 71,869,754 : x
  2. Step 2: Convert to fraction form
    46,977,133/71,869,754 = 71,869,754/x
  3. Step 3: Cross multiply
    46,977,133x = 71,869,754 × 71,869,754
  4. Step 4: Simplify right side
    46,977,133x = 5,165,261,540,020,516
  5. Step 5: Solve for x
    x = 5,165,261,540,020,516/46,977,133
  6. Step 6: Final answer
    x = 109,952,677.19

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