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Finding the Third Proportional to 1,085,633,698.50 and 2,370,359,416.50

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Solution

The third proportional to 1,085,633,698.50 and 2,370,359,416.50 is: 5,175,413,927.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,633,698.50 : 2,370,359,416.50 = 2,370,359,416.50 : x
  2. Step 2: Convert to fraction form
    1,085,633,698.50/2,370,359,416.50 = 2,370,359,416.50/x
  3. Step 3: Cross multiply
    1,085,633,698.50x = 2,370,359,416.50 × 2,370,359,416.50
  4. Step 4: Simplify right side
    1,085,633,698.50x = 5,618,603,763,390,220,288
  5. Step 5: Solve for x
    x = 5,618,603,763,390,220,288/1,085,633,698.50
  6. Step 6: Final answer
    x = 5,175,413,927.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.