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Finding the Third Proportional to 6,242,821,405 and 9,019,798,869

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Solution

The third proportional to 6,242,821,405 and 9,019,798,869 is: 13,032,051,753.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242,821,405 : 9,019,798,869 = 9,019,798,869 : x
  2. Step 2: Convert to fraction form
    6,242,821,405/9,019,798,869 = 9,019,798,869/x
  3. Step 3: Cross multiply
    6,242,821,405x = 9,019,798,869 × 9,019,798,869
  4. Step 4: Simplify right side
    6,242,821,405x = 81,356,771,637,213,675,520
  5. Step 5: Solve for x
    x = 81,356,771,637,213,675,520/6,242,821,405
  6. Step 6: Final answer
    x = 13,032,051,753.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.