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Finding the Third Proportional to 39,243,779,640 and 86,085,239,832

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Solution

The third proportional to 39,243,779,640 and 86,085,239,832 is: 188,836,768,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,243,779,640 : 86,085,239,832 = 86,085,239,832 : x
  2. Step 2: Convert to fraction form
    39,243,779,640/86,085,239,832 = 86,085,239,832/x
  3. Step 3: Cross multiply
    39,243,779,640x = 86,085,239,832 × 86,085,239,832
  4. Step 4: Simplify right side
    39,243,779,640x = 7,410,668,516,932,959,862,784
  5. Step 5: Solve for x
    x = 7,410,668,516,932,959,862,784/39,243,779,640
  6. Step 6: Final answer
    x = 188,836,768,142.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.