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Finding the Third Proportional to 872,725,901,337 and 2,039,081,495,692.50

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Solution

The third proportional to 872,725,901,337 and 2,039,081,495,692.50 is: 4,764,214,445,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,725,901,337 : 2,039,081,495,692.50 = 2,039,081,495,692.50 : x
  2. Step 2: Convert to fraction form
    872,725,901,337/2,039,081,495,692.50 = 2,039,081,495,692.50/x
  3. Step 3: Cross multiply
    872,725,901,337x = 2,039,081,495,692.50 × 2,039,081,495,692.50
  4. Step 4: Simplify right side
    872,725,901,337x = 4,157,853,346,075,562,959,962,112
  5. Step 5: Solve for x
    x = 4,157,853,346,075,562,959,962,112/872,725,901,337
  6. Step 6: Final answer
    x = 4,764,214,445,458.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.