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Finding the Third Proportional to 127,369,471 and 277,796,413

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Solution

The third proportional to 127,369,471 and 277,796,413 is: 605,881,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,369,471 : 277,796,413 = 277,796,413 : x
  2. Step 2: Convert to fraction form
    127,369,471/277,796,413 = 277,796,413/x
  3. Step 3: Cross multiply
    127,369,471x = 277,796,413 × 277,796,413
  4. Step 4: Simplify right side
    127,369,471x = 77,170,847,075,666,576
  5. Step 5: Solve for x
    x = 77,170,847,075,666,576/127,369,471
  6. Step 6: Final answer
    x = 605,881,821.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.