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Finding the Third Proportional to 1,036,722,610 and 2,284,762,310

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Solution

The third proportional to 1,036,722,610 and 2,284,762,310 is: 5,035,231,953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,722,610 : 2,284,762,310 = 2,284,762,310 : x
  2. Step 2: Convert to fraction form
    1,036,722,610/2,284,762,310 = 2,284,762,310/x
  3. Step 3: Cross multiply
    1,036,722,610x = 2,284,762,310 × 2,284,762,310
  4. Step 4: Simplify right side
    1,036,722,610x = 5,220,138,813,196,535,808
  5. Step 5: Solve for x
    x = 5,220,138,813,196,535,808/1,036,722,610
  6. Step 6: Final answer
    x = 5,035,231,953.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.