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Finding the Third Proportional to 876,545,334,034 and 1,885,007,726,676

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Solution

The third proportional to 876,545,334,034 and 1,885,007,726,676 is: 4,053,702,634,267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,545,334,034 : 1,885,007,726,676 = 1,885,007,726,676 : x
  2. Step 2: Convert to fraction form
    876,545,334,034/1,885,007,726,676 = 1,885,007,726,676/x
  3. Step 3: Cross multiply
    876,545,334,034x = 1,885,007,726,676 × 1,885,007,726,676
  4. Step 4: Simplify right side
    876,545,334,034x = 3,553,254,129,628,221,513,138,176
  5. Step 5: Solve for x
    x = 3,553,254,129,628,221,513,138,176/876,545,334,034
  6. Step 6: Final answer
    x = 4,053,702,634,267.17

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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.