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Finding the Third Proportional to 760,402,726,712.05 and 1,631,190,333,842.80

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Solution

The third proportional to 760,402,726,712.05 and 1,631,190,333,842.80 is: 3,499,174,597,554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,402,726,712.05 : 1,631,190,333,842.80 = 1,631,190,333,842.80 : x
  2. Step 2: Convert to fraction form
    760,402,726,712.05/1,631,190,333,842.80 = 1,631,190,333,842.80/x
  3. Step 3: Cross multiply
    760,402,726,712.05x = 1,631,190,333,842.80 × 1,631,190,333,842.80
  4. Step 4: Simplify right side
    760,402,726,712.05x = 2,660,781,905,222,185,565,290,496
  5. Step 5: Solve for x
    x = 2,660,781,905,222,185,565,290,496/760,402,726,712.05
  6. Step 6: Final answer
    x = 3,499,174,597,554.77

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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.