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Finding the Third Proportional to 1,497,385,584 and 3,231,527,888

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Solution

The third proportional to 1,497,385,584 and 3,231,527,888 is: 6,974,003,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,385,584 : 3,231,527,888 = 3,231,527,888 : x
  2. Step 2: Convert to fraction form
    1,497,385,584/3,231,527,888 = 3,231,527,888/x
  3. Step 3: Cross multiply
    1,497,385,584x = 3,231,527,888 × 3,231,527,888
  4. Step 4: Simplify right side
    1,497,385,584x = 10,442,772,490,921,740,288
  5. Step 5: Solve for x
    x = 10,442,772,490,921,740,288/1,497,385,584
  6. Step 6: Final answer
    x = 6,974,003,625.06

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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.