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Finding the Third Proportional to 2,909,442,564 and 6,382,168,200

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Solution

The third proportional to 2,909,442,564 and 6,382,168,200 is: 13,999,957,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909,442,564 : 6,382,168,200 = 6,382,168,200 : x
  2. Step 2: Convert to fraction form
    2,909,442,564/6,382,168,200 = 6,382,168,200/x
  3. Step 3: Cross multiply
    2,909,442,564x = 6,382,168,200 × 6,382,168,200
  4. Step 4: Simplify right side
    2,909,442,564x = 40,732,070,933,091,237,888
  5. Step 5: Solve for x
    x = 40,732,070,933,091,237,888/2,909,442,564
  6. Step 6: Final answer
    x = 13,999,957,049.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.