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Finding the Third Proportional to 1,465,550,288 and 3,160,677,184

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Solution

The third proportional to 1,465,550,288 and 3,160,677,184 is: 6,816,470,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,550,288 : 3,160,677,184 = 3,160,677,184 : x
  2. Step 2: Convert to fraction form
    1,465,550,288/3,160,677,184 = 3,160,677,184/x
  3. Step 3: Cross multiply
    1,465,550,288x = 3,160,677,184 × 3,160,677,184
  4. Step 4: Simplify right side
    1,465,550,288x = 9,989,880,261,458,169,856
  5. Step 5: Solve for x
    x = 9,989,880,261,458,169,856/1,465,550,288
  6. Step 6: Final answer
    x = 6,816,470,470.69

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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.