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Finding the Third Proportional to 796,282,080 and 1,138,684,752

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Solution

The third proportional to 796,282,080 and 1,138,684,752 is: 1,628,321,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,282,080 : 1,138,684,752 = 1,138,684,752 : x
  2. Step 2: Convert to fraction form
    796,282,080/1,138,684,752 = 1,138,684,752/x
  3. Step 3: Cross multiply
    796,282,080x = 1,138,684,752 × 1,138,684,752
  4. Step 4: Simplify right side
    796,282,080x = 1,296,602,964,437,301,504
  5. Step 5: Solve for x
    x = 1,296,602,964,437,301,504/796,282,080
  6. Step 6: Final answer
    x = 1,628,321,165.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.