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Finding the Third Proportional to 399,345,831,433 and 809,803,927,096

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Solution

The third proportional to 399,345,831,433 and 809,803,927,096 is: 1,642,141,594,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,345,831,433 : 809,803,927,096 = 809,803,927,096 : x
  2. Step 2: Convert to fraction form
    399,345,831,433/809,803,927,096 = 809,803,927,096/x
  3. Step 3: Cross multiply
    399,345,831,433x = 809,803,927,096 × 809,803,927,096
  4. Step 4: Simplify right side
    399,345,831,433x = 655,782,400,340,103,746,551,808
  5. Step 5: Solve for x
    x = 655,782,400,340,103,746,551,808/399,345,831,433
  6. Step 6: Final answer
    x = 1,642,141,594,384.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.