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Finding the Third Proportional to 1,477,710,459 and 3,212,631,801

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Solution

The third proportional to 1,477,710,459 and 3,212,631,801 is: 6,984,455,598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,710,459 : 3,212,631,801 = 3,212,631,801 : x
  2. Step 2: Convert to fraction form
    1,477,710,459/3,212,631,801 = 3,212,631,801/x
  3. Step 3: Cross multiply
    1,477,710,459x = 3,212,631,801 × 3,212,631,801
  4. Step 4: Simplify right side
    1,477,710,459x = 10,321,003,088,796,504,064
  5. Step 5: Solve for x
    x = 10,321,003,088,796,504,064/1,477,710,459
  6. Step 6: Final answer
    x = 6,984,455,598.82

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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.