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Finding the Third Proportional to 427,726,533,778.75 and 917,544,562,792.75

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Solution

The third proportional to 427,726,533,778.75 and 917,544,562,792.75 is: 1,968,285,711,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,726,533,778.75 : 917,544,562,792.75 = 917,544,562,792.75 : x
  2. Step 2: Convert to fraction form
    427,726,533,778.75/917,544,562,792.75 = 917,544,562,792.75/x
  3. Step 3: Cross multiply
    427,726,533,778.75x = 917,544,562,792.75 × 917,544,562,792.75
  4. Step 4: Simplify right side
    427,726,533,778.75x = 841,888,024,710,538,701,307,904
  5. Step 5: Solve for x
    x = 841,888,024,710,538,701,307,904/427,726,533,778.75
  6. Step 6: Final answer
    x = 1,968,285,711,136.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.