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Finding the Third Proportional to 427,726,533,775.55 and 917,544,562,786.60

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Solution

The third proportional to 427,726,533,775.55 and 917,544,562,786.60 is: 1,968,285,711,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,726,533,775.55 : 917,544,562,786.60 = 917,544,562,786.60 : x
  2. Step 2: Convert to fraction form
    427,726,533,775.55/917,544,562,786.60 = 917,544,562,786.60/x
  3. Step 3: Cross multiply
    427,726,533,775.55x = 917,544,562,786.60 × 917,544,562,786.60
  4. Step 4: Simplify right side
    427,726,533,775.55x = 841,888,024,699,252,869,431,296
  5. Step 5: Solve for x
    x = 841,888,024,699,252,869,431,296/427,726,533,775.55
  6. Step 6: Final answer
    x = 1,968,285,711,124.56

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1.5x scale

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.