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Finding the Third Proportional to 1,465,550,286 and 3,160,677,180

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Solution

The third proportional to 1,465,550,286 and 3,160,677,180 is: 6,816,470,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,550,286 : 3,160,677,180 = 3,160,677,180 : x
  2. Step 2: Convert to fraction form
    1,465,550,286/3,160,677,180 = 3,160,677,180/x
  3. Step 3: Cross multiply
    1,465,550,286x = 3,160,677,180 × 3,160,677,180
  4. Step 4: Simplify right side
    1,465,550,286x = 9,989,880,236,172,752,896
  5. Step 5: Solve for x
    x = 9,989,880,236,172,752,896/1,465,550,286
  6. Step 6: Final answer
    x = 6,816,470,462.74

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