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Finding the Third Proportional to 295,478,087,762 and 599,178,198,460

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Solution

The third proportional to 295,478,087,762 and 599,178,198,460 is: 1,215,029,230,184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,478,087,762 : 599,178,198,460 = 599,178,198,460 : x
  2. Step 2: Convert to fraction form
    295,478,087,762/599,178,198,460 = 599,178,198,460/x
  3. Step 3: Cross multiply
    295,478,087,762x = 599,178,198,460 × 599,178,198,460
  4. Step 4: Simplify right side
    295,478,087,762x = 359,014,513,509,771,151,147,008
  5. Step 5: Solve for x
    x = 359,014,513,509,771,151,147,008/295,478,087,762
  6. Step 6: Final answer
    x = 1,215,029,230,184.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.