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Finding the Third Proportional to 4,237,539,675 and 6,613,792,677

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Solution

The third proportional to 4,237,539,675 and 6,613,792,677 is: 10,322,559,062.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237,539,675 : 6,613,792,677 = 6,613,792,677 : x
  2. Step 2: Convert to fraction form
    4,237,539,675/6,613,792,677 = 6,613,792,677/x
  3. Step 3: Cross multiply
    4,237,539,675x = 6,613,792,677 × 6,613,792,677
  4. Step 4: Simplify right side
    4,237,539,675x = 43,742,253,574,338,830,336
  5. Step 5: Solve for x
    x = 43,742,253,574,338,830,336/4,237,539,675
  6. Step 6: Final answer
    x = 10,322,559,062.37

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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.