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Finding the Third Proportional to 611,706,027.50 and 906,092,312

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Solution

The third proportional to 611,706,027.50 and 906,092,312 is: 1,342,153,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,706,027.50 : 906,092,312 = 906,092,312 : x
  2. Step 2: Convert to fraction form
    611,706,027.50/906,092,312 = 906,092,312/x
  3. Step 3: Cross multiply
    611,706,027.50x = 906,092,312 × 906,092,312
  4. Step 4: Simplify right side
    611,706,027.50x = 821,003,277,865,505,280
  5. Step 5: Solve for x
    x = 821,003,277,865,505,280/611,706,027.50
  6. Step 6: Final answer
    x = 1,342,153,323.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.