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Finding the Third Proportional to 876,545,333,914 and 1,885,007,726,461

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Solution

The third proportional to 876,545,333,914 and 1,885,007,726,461 is: 4,053,702,633,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,545,333,914 : 1,885,007,726,461 = 1,885,007,726,461 : x
  2. Step 2: Convert to fraction form
    876,545,333,914/1,885,007,726,461 = 1,885,007,726,461/x
  3. Step 3: Cross multiply
    876,545,333,914x = 1,885,007,726,461 × 1,885,007,726,461
  4. Step 4: Simplify right side
    876,545,333,914x = 3,553,254,128,817,668,305,715,200
  5. Step 5: Solve for x
    x = 3,553,254,128,817,668,305,715,200/876,545,333,914
  6. Step 6: Final answer
    x = 4,053,702,633,897.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.