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Finding the Third Proportional to 505,668,516,344 and 730,603,682,484

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Solution

The third proportional to 505,668,516,344 and 730,603,682,484 is: 1,055,596,153,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,668,516,344 : 730,603,682,484 = 730,603,682,484 : x
  2. Step 2: Convert to fraction form
    505,668,516,344/730,603,682,484 = 730,603,682,484/x
  3. Step 3: Cross multiply
    505,668,516,344x = 730,603,682,484 × 730,603,682,484
  4. Step 4: Simplify right side
    505,668,516,344x = 533,781,740,859,181,481,590,784
  5. Step 5: Solve for x
    x = 533,781,740,859,181,481,590,784/505,668,516,344
  6. Step 6: Final answer
    x = 1,055,596,153,619.45

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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.