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Finding the Third Proportional to 353,879,018.25 and 775,782,484.50

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Solution

The third proportional to 353,879,018.25 and 775,782,484.50 is: 1,700,689,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,879,018.25 : 775,782,484.50 = 775,782,484.50 : x
  2. Step 2: Convert to fraction form
    353,879,018.25/775,782,484.50 = 775,782,484.50/x
  3. Step 3: Cross multiply
    353,879,018.25x = 775,782,484.50 × 775,782,484.50
  4. Step 4: Simplify right side
    353,879,018.25x = 601,838,463,256,992,768
  5. Step 5: Solve for x
    x = 601,838,463,256,992,768/353,879,018.25
  6. Step 6: Final answer
    x = 1,700,689,874.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.