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Finding the Third Proportional to 4,237,539,685 and 6,613,792,687.50

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Solution

The third proportional to 4,237,539,685 and 6,613,792,687.50 is: 10,322,559,070.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237,539,685 : 6,613,792,687.50 = 6,613,792,687.50 : x
  2. Step 2: Convert to fraction form
    4,237,539,685/6,613,792,687.50 = 6,613,792,687.50/x
  3. Step 3: Cross multiply
    4,237,539,685x = 6,613,792,687.50 × 6,613,792,687.50
  4. Step 4: Simplify right side
    4,237,539,685x = 43,742,253,713,228,472,320
  5. Step 5: Solve for x
    x = 43,742,253,713,228,472,320/4,237,539,685
  6. Step 6: Final answer
    x = 10,322,559,070.79

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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.