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Finding the Third Proportional to 539,830,918,160 and 1,124,343,323,944

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Solution

The third proportional to 539,830,918,160 and 1,124,343,323,944 is: 2,341,747,883,589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,830,918,160 : 1,124,343,323,944 = 1,124,343,323,944 : x
  2. Step 2: Convert to fraction form
    539,830,918,160/1,124,343,323,944 = 1,124,343,323,944/x
  3. Step 3: Cross multiply
    539,830,918,160x = 1,124,343,323,944 × 1,124,343,323,944
  4. Step 4: Simplify right side
    539,830,918,160x = 1,264,147,910,097,442,640,494,592
  5. Step 5: Solve for x
    x = 1,264,147,910,097,442,640,494,592/539,830,918,160
  6. Step 6: Final answer
    x = 2,341,747,883,589.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.