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Finding the Third Proportional to 535,615,699.50 and 827,290,462.50

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Solution

The third proportional to 535,615,699.50 and 827,290,462.50 is: 1,277,799,567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,615,699.50 : 827,290,462.50 = 827,290,462.50 : x
  2. Step 2: Convert to fraction form
    535,615,699.50/827,290,462.50 = 827,290,462.50/x
  3. Step 3: Cross multiply
    535,615,699.50x = 827,290,462.50 × 827,290,462.50
  4. Step 4: Simplify right side
    535,615,699.50x = 684,409,509,343,463,936
  5. Step 5: Solve for x
    x = 684,409,509,343,463,936/535,615,699.50
  6. Step 6: Final answer
    x = 1,277,799,567.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.