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Finding the Third Proportional to 427,726,533,775.35 and 917,544,562,786.20

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Solution

The third proportional to 427,726,533,775.35 and 917,544,562,786.20 is: 1,968,285,711,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,726,533,775.35 : 917,544,562,786.20 = 917,544,562,786.20 : x
  2. Step 2: Convert to fraction form
    427,726,533,775.35/917,544,562,786.20 = 917,544,562,786.20/x
  3. Step 3: Cross multiply
    427,726,533,775.35x = 917,544,562,786.20 × 917,544,562,786.20
  4. Step 4: Simplify right side
    427,726,533,775.35x = 841,888,024,698,518,832,676,864
  5. Step 5: Solve for x
    x = 841,888,024,698,518,832,676,864/427,726,533,775.35
  6. Step 6: Final answer
    x = 1,968,285,711,123.77

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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.