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Finding the Third Proportional to 514,556,985,850.70 and 778,453,386,657.20

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Solution

The third proportional to 514,556,985,850.70 and 778,453,386,657.20 is: 1,177,692,057,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,556,985,850.70 : 778,453,386,657.20 = 778,453,386,657.20 : x
  2. Step 2: Convert to fraction form
    514,556,985,850.70/778,453,386,657.20 = 778,453,386,657.20/x
  3. Step 3: Cross multiply
    514,556,985,850.70x = 778,453,386,657.20 × 778,453,386,657.20
  4. Step 4: Simplify right side
    514,556,985,850.70x = 605,989,675,198,064,080,453,632
  5. Step 5: Solve for x
    x = 605,989,675,198,064,080,453,632/514,556,985,850.70
  6. Step 6: Final answer
    x = 1,177,692,057,170.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.