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Finding the Third Proportional to 505,668,533,726 and 730,603,708,338

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Solution

The third proportional to 505,668,533,726 and 730,603,708,338 is: 1,055,596,192,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,668,533,726 : 730,603,708,338 = 730,603,708,338 : x
  2. Step 2: Convert to fraction form
    505,668,533,726/730,603,708,338 = 730,603,708,338/x
  3. Step 3: Cross multiply
    505,668,533,726x = 730,603,708,338 × 730,603,708,338
  4. Step 4: Simplify right side
    505,668,533,726x = 533,781,778,637,237,344,272,384
  5. Step 5: Solve for x
    x = 533,781,778,637,237,344,272,384/505,668,533,726
  6. Step 6: Final answer
    x = 1,055,596,192,043.21

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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.