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Finding the Third Proportional to 802,008,711 and 1,276,153,555.50

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Solution

The third proportional to 802,008,711 and 1,276,153,555.50 is: 2,030,611,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,008,711 : 1,276,153,555.50 = 1,276,153,555.50 : x
  2. Step 2: Convert to fraction form
    802,008,711/1,276,153,555.50 = 1,276,153,555.50/x
  3. Step 3: Cross multiply
    802,008,711x = 1,276,153,555.50 × 1,276,153,555.50
  4. Step 4: Simplify right side
    802,008,711x = 1,628,567,897,215,291,648
  5. Step 5: Solve for x
    x = 1,628,567,897,215,291,648/802,008,711
  6. Step 6: Final answer
    x = 2,030,611,232.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.