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Finding the Third Proportional to 2,965,697,440 and 6,390,679,999

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Solution

The third proportional to 2,965,697,440 and 6,390,679,999 is: 13,771,057,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965,697,440 : 6,390,679,999 = 6,390,679,999 : x
  2. Step 2: Convert to fraction form
    2,965,697,440/6,390,679,999 = 6,390,679,999/x
  3. Step 3: Cross multiply
    2,965,697,440x = 6,390,679,999 × 6,390,679,999
  4. Step 4: Simplify right side
    2,965,697,440x = 40,840,790,849,618,640,896
  5. Step 5: Solve for x
    x = 40,840,790,849,618,640,896/2,965,697,440
  6. Step 6: Final answer
    x = 13,771,057,795.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.