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Finding the Third Proportional to 714,102,966 and 1,102,990,896

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Solution

The third proportional to 714,102,966 and 1,102,990,896 is: 1,703,660,360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,102,966 : 1,102,990,896 = 1,102,990,896 : x
  2. Step 2: Convert to fraction form
    714,102,966/1,102,990,896 = 1,102,990,896/x
  3. Step 3: Cross multiply
    714,102,966x = 1,102,990,896 × 1,102,990,896
  4. Step 4: Simplify right side
    714,102,966x = 1,216,588,916,658,882,816
  5. Step 5: Solve for x
    x = 1,216,588,916,658,882,816/714,102,966
  6. Step 6: Final answer
    x = 1,703,660,360.74

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.