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Finding the Third Proportional to 505,668,513,492 and 730,603,678,675.50

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Solution

The third proportional to 505,668,513,492 and 730,603,678,675.50 is: 1,055,596,148,567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,668,513,492 : 730,603,678,675.50 = 730,603,678,675.50 : x
  2. Step 2: Convert to fraction form
    505,668,513,492/730,603,678,675.50 = 730,603,678,675.50/x
  3. Step 3: Cross multiply
    505,668,513,492x = 730,603,678,675.50 × 730,603,678,675.50
  4. Step 4: Simplify right side
    505,668,513,492x = 533,781,735,294,173,230,137,344
  5. Step 5: Solve for x
    x = 533,781,735,294,173,230,137,344/505,668,513,492
  6. Step 6: Final answer
    x = 1,055,596,148,567.83

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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.