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Finding the Third Proportional to 777,090,109.50 and 1,585,395,875

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Solution

The third proportional to 777,090,109.50 and 1,585,395,875 is: 3,234,476,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,090,109.50 : 1,585,395,875 = 1,585,395,875 : x
  2. Step 2: Convert to fraction form
    777,090,109.50/1,585,395,875 = 1,585,395,875/x
  3. Step 3: Cross multiply
    777,090,109.50x = 1,585,395,875 × 1,585,395,875
  4. Step 4: Simplify right side
    777,090,109.50x = 2,513,480,080,467,015,680
  5. Step 5: Solve for x
    x = 2,513,480,080,467,015,680/777,090,109.50
  6. Step 6: Final answer
    x = 3,234,476,992.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.