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Finding the Third Proportional to 3,286,160,948 and 7,307,060,584

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Solution

The third proportional to 3,286,160,948 and 7,307,060,584 is: 16,247,875,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286,160,948 : 7,307,060,584 = 7,307,060,584 : x
  2. Step 2: Convert to fraction form
    3,286,160,948/7,307,060,584 = 7,307,060,584/x
  3. Step 3: Cross multiply
    3,286,160,948x = 7,307,060,584 × 7,307,060,584
  4. Step 4: Simplify right side
    3,286,160,948x = 53,393,134,378,246,422,528
  5. Step 5: Solve for x
    x = 53,393,134,378,246,422,528/3,286,160,948
  6. Step 6: Final answer
    x = 16,247,875,628.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.