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Finding the Third Proportional to 46,977,141 and 71,869,765.50

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Solution

The third proportional to 46,977,141 and 71,869,765.50 is: 109,952,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,977,141 : 71,869,765.50 = 71,869,765.50 : x
  2. Step 2: Convert to fraction form
    46,977,141/71,869,765.50 = 71,869,765.50/x
  3. Step 3: Cross multiply
    46,977,141x = 71,869,765.50 × 71,869,765.50
  4. Step 4: Simplify right side
    46,977,141x = 5,165,263,193,024,990
  5. Step 5: Solve for x
    x = 5,165,263,193,024,990/46,977,141
  6. Step 6: Final answer
    x = 109,952,693.65

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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.