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Finding the Third Proportional to 7,557,026,688 and 16,398,595,840

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Solution

The third proportional to 7,557,026,688 and 16,398,595,840 is: 35,584,622,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,557,026,688 : 16,398,595,840 = 16,398,595,840 : x
  2. Step 2: Convert to fraction form
    7,557,026,688/16,398,595,840 = 16,398,595,840/x
  3. Step 3: Cross multiply
    7,557,026,688x = 16,398,595,840 × 16,398,595,840
  4. Step 4: Simplify right side
    7,557,026,688x = 268,913,945,523,665,305,600
  5. Step 5: Solve for x
    x = 268,913,945,523,665,305,600/7,557,026,688
  6. Step 6: Final answer
    x = 35,584,622,977.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.