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Finding the Third Proportional to 1,210,626,004 and 2,606,924,815

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Solution

The third proportional to 1,210,626,004 and 2,606,924,815 is: 5,613,671,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,626,004 : 2,606,924,815 = 2,606,924,815 : x
  2. Step 2: Convert to fraction form
    1,210,626,004/2,606,924,815 = 2,606,924,815/x
  3. Step 3: Cross multiply
    1,210,626,004x = 2,606,924,815 × 2,606,924,815
  4. Step 4: Simplify right side
    1,210,626,004x = 6,796,056,991,062,784,000
  5. Step 5: Solve for x
    x = 6,796,056,991,062,784,000/1,210,626,004
  6. Step 6: Final answer
    x = 5,613,671,743.88

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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.