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Finding the Third Proportional to 1,210,626,005 and 2,606,924,817

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Solution

The third proportional to 1,210,626,005 and 2,606,924,817 is: 5,613,671,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,626,005 : 2,606,924,817 = 2,606,924,817 : x
  2. Step 2: Convert to fraction form
    1,210,626,005/2,606,924,817 = 2,606,924,817/x
  3. Step 3: Cross multiply
    1,210,626,005x = 2,606,924,817 × 2,606,924,817
  4. Step 4: Simplify right side
    1,210,626,005x = 6,796,057,001,490,483,200
  5. Step 5: Solve for x
    x = 6,796,057,001,490,483,200/1,210,626,005
  6. Step 6: Final answer
    x = 5,613,671,747.86

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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.