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Finding the Third Proportional to 59,152,938,530 and 139,499,052,009

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Solution

The third proportional to 59,152,938,530 and 139,499,052,009 is: 328,977,494,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,152,938,530 : 139,499,052,009 = 139,499,052,009 : x
  2. Step 2: Convert to fraction form
    59,152,938,530/139,499,052,009 = 139,499,052,009/x
  3. Step 3: Cross multiply
    59,152,938,530x = 139,499,052,009 × 139,499,052,009
  4. Step 4: Simplify right side
    59,152,938,530x = 19,459,985,511,409,688,510,464
  5. Step 5: Solve for x
    x = 19,459,985,511,409,688,510,464/59,152,938,530
  6. Step 6: Final answer
    x = 328,977,494,525.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.