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Finding the Third Proportional to 49,313,710.50 and 78,537,004

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Solution

The third proportional to 49,313,710.50 and 78,537,004 is: 125,078,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,313,710.50 : 78,537,004 = 78,537,004 : x
  2. Step 2: Convert to fraction form
    49,313,710.50/78,537,004 = 78,537,004/x
  3. Step 3: Cross multiply
    49,313,710.50x = 78,537,004 × 78,537,004
  4. Step 4: Simplify right side
    49,313,710.50x = 6,168,060,997,296,016
  5. Step 5: Solve for x
    x = 6,168,060,997,296,016/49,313,710.50
  6. Step 6: Final answer
    x = 125,078,014.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.