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Finding the Third Proportional to 127,774,397.25 and 277,936,060.50

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Solution

The third proportional to 127,774,397.25 and 277,936,060.50 is: 604,569,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,774,397.25 : 277,936,060.50 = 277,936,060.50 : x
  2. Step 2: Convert to fraction form
    127,774,397.25/277,936,060.50 = 277,936,060.50/x
  3. Step 3: Cross multiply
    127,774,397.25x = 277,936,060.50 × 277,936,060.50
  4. Step 4: Simplify right side
    127,774,397.25x = 77,248,453,726,259,664
  5. Step 5: Solve for x
    x = 77,248,453,726,259,664/127,774,397.25
  6. Step 6: Final answer
    x = 604,569,110.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.