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Finding the Third Proportional to 306,471,519,750.75 and 716,055,782,897.25

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Solution

The third proportional to 306,471,519,750.75 and 716,055,782,897.25 is: 1,673,029,469,875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,471,519,750.75 : 716,055,782,897.25 = 716,055,782,897.25 : x
  2. Step 2: Convert to fraction form
    306,471,519,750.75/716,055,782,897.25 = 716,055,782,897.25/x
  3. Step 3: Cross multiply
    306,471,519,750.75x = 716,055,782,897.25 × 716,055,782,897.25
  4. Step 4: Simplify right side
    306,471,519,750.75x = 512,735,884,220,593,654,988,800
  5. Step 5: Solve for x
    x = 512,735,884,220,593,654,988,800/306,471,519,750.75
  6. Step 6: Final answer
    x = 1,673,029,469,875.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.