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Finding the Third Proportional to 4,237,539,672.75 and 6,613,792,674

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Solution

The third proportional to 4,237,539,672.75 and 6,613,792,674 is: 10,322,559,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237,539,672.75 : 6,613,792,674 = 6,613,792,674 : x
  2. Step 2: Convert to fraction form
    4,237,539,672.75/6,613,792,674 = 6,613,792,674/x
  3. Step 3: Cross multiply
    4,237,539,672.75x = 6,613,792,674 × 6,613,792,674
  4. Step 4: Simplify right side
    4,237,539,672.75x = 43,742,253,534,656,069,632
  5. Step 5: Solve for x
    x = 43,742,253,534,656,069,632/4,237,539,672.75
  6. Step 6: Final answer
    x = 10,322,559,058.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.