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Finding the Third Proportional to 413,301,707 and 892,350,733.50

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Solution

The third proportional to 413,301,707 and 892,350,733.50 is: 1,926,655,075.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,301,707 : 892,350,733.50 = 892,350,733.50 : x
  2. Step 2: Convert to fraction form
    413,301,707/892,350,733.50 = 892,350,733.50/x
  3. Step 3: Cross multiply
    413,301,707x = 892,350,733.50 × 892,350,733.50
  4. Step 4: Simplify right side
    413,301,707x = 796,289,831,577,987,968
  5. Step 5: Solve for x
    x = 796,289,831,577,987,968/413,301,707
  6. Step 6: Final answer
    x = 1,926,655,075.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.