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Finding the Third Proportional to 46,977,651 and 71,870,530.50

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Solution

The third proportional to 46,977,651 and 71,870,530.50 is: 109,953,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,977,651 : 71,870,530.50 = 71,870,530.50 : x
  2. Step 2: Convert to fraction form
    46,977,651/71,870,530.50 = 71,870,530.50/x
  3. Step 3: Cross multiply
    46,977,651x = 71,870,530.50 × 71,870,530.50
  4. Step 4: Simplify right side
    46,977,651x = 5,165,373,154,351,430
  5. Step 5: Solve for x
    x = 5,165,373,154,351,430/46,977,651
  6. Step 6: Final answer
    x = 109,953,840.70

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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.