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Finding the Third Proportional to 286,301,490,866.50 and 622,868,977,977.50

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Solution

The third proportional to 286,301,490,866.50 and 622,868,977,977.50 is: 1,355,095,157,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,301,490,866.50 : 622,868,977,977.50 = 622,868,977,977.50 : x
  2. Step 2: Convert to fraction form
    286,301,490,866.50/622,868,977,977.50 = 622,868,977,977.50/x
  3. Step 3: Cross multiply
    286,301,490,866.50x = 622,868,977,977.50 × 622,868,977,977.50
  4. Step 4: Simplify right side
    286,301,490,866.50x = 387,965,763,726,735,386,345,472
  5. Step 5: Solve for x
    x = 387,965,763,726,735,386,345,472/286,301,490,866.50
  6. Step 6: Final answer
    x = 1,355,095,157,040.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.