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Finding the Third Proportional to 475,481,194 and 1,035,374,312

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Solution

The third proportional to 475,481,194 and 1,035,374,312 is: 2,254,558,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,481,194 : 1,035,374,312 = 1,035,374,312 : x
  2. Step 2: Convert to fraction form
    475,481,194/1,035,374,312 = 1,035,374,312/x
  3. Step 3: Cross multiply
    475,481,194x = 1,035,374,312 × 1,035,374,312
  4. Step 4: Simplify right side
    475,481,194x = 1,071,999,965,949,473,280
  5. Step 5: Solve for x
    x = 1,071,999,965,949,473,280/475,481,194
  6. Step 6: Final answer
    x = 2,254,558,076.06

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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.