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Finding the Third Proportional to 921,848,025 and 2,027,569,440

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Solution

The third proportional to 921,848,025 and 2,027,569,440 is: 4,459,561,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,848,025 : 2,027,569,440 = 2,027,569,440 : x
  2. Step 2: Convert to fraction form
    921,848,025/2,027,569,440 = 2,027,569,440/x
  3. Step 3: Cross multiply
    921,848,025x = 2,027,569,440 × 2,027,569,440
  4. Step 4: Simplify right side
    921,848,025x = 4,111,037,834,021,913,600
  5. Step 5: Solve for x
    x = 4,111,037,834,021,913,600/921,848,025
  6. Step 6: Final answer
    x = 4,459,561,362.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.