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Finding the Third Proportional to 470,663,186 and 725,844,311

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Solution

The third proportional to 470,663,186 and 725,844,311 is: 1,119,377,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,663,186 : 725,844,311 = 725,844,311 : x
  2. Step 2: Convert to fraction form
    470,663,186/725,844,311 = 725,844,311/x
  3. Step 3: Cross multiply
    470,663,186x = 725,844,311 × 725,844,311
  4. Step 4: Simplify right side
    470,663,186x = 526,849,963,811,064,704
  5. Step 5: Solve for x
    x = 526,849,963,811,064,704/470,663,186
  6. Step 6: Final answer
    x = 1,119,377,889.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.