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Finding the Third Proportional to 505,668,513,494 and 730,603,678,678

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Solution

The third proportional to 505,668,513,494 and 730,603,678,678 is: 1,055,596,148,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,668,513,494 : 730,603,678,678 = 730,603,678,678 : x
  2. Step 2: Convert to fraction form
    505,668,513,494/730,603,678,678 = 730,603,678,678/x
  3. Step 3: Cross multiply
    505,668,513,494x = 730,603,678,678 × 730,603,678,678
  4. Step 4: Simplify right side
    505,668,513,494x = 533,781,735,297,826,301,149,184
  5. Step 5: Solve for x
    x = 533,781,735,297,826,301,149,184/505,668,513,494
  6. Step 6: Final answer
    x = 1,055,596,148,570.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.