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Finding the Third Proportional to 35,890,929 and 77,839,362

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Solution

The third proportional to 35,890,929 and 77,839,362 is: 168,816,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,890,929 : 77,839,362 = 77,839,362 : x
  2. Step 2: Convert to fraction form
    35,890,929/77,839,362 = 77,839,362/x
  3. Step 3: Cross multiply
    35,890,929x = 77,839,362 × 77,839,362
  4. Step 4: Simplify right side
    35,890,929x = 6,058,966,276,567,044
  5. Step 5: Solve for x
    x = 6,058,966,276,567,044/35,890,929
  6. Step 6: Final answer
    x = 168,816,089.34

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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.