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Finding the Third Proportional to 51,705,516 and 78,632,658

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Solution

The third proportional to 51,705,516 and 78,632,658 is: 119,582,887.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,705,516 : 78,632,658 = 78,632,658 : x
  2. Step 2: Convert to fraction form
    51,705,516/78,632,658 = 78,632,658/x
  3. Step 3: Cross multiply
    51,705,516x = 78,632,658 × 78,632,658
  4. Step 4: Simplify right side
    51,705,516x = 6,183,094,904,144,964
  5. Step 5: Solve for x
    x = 6,183,094,904,144,964/51,705,516
  6. Step 6: Final answer
    x = 119,582,887.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.