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Finding the Third Proportional to 599,098,676,196 and 1,283,024,547,636

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Solution

The third proportional to 599,098,676,196 and 1,283,024,547,636 is: 2,747,714,283,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,098,676,196 : 1,283,024,547,636 = 1,283,024,547,636 : x
  2. Step 2: Convert to fraction form
    599,098,676,196/1,283,024,547,636 = 1,283,024,547,636/x
  3. Step 3: Cross multiply
    599,098,676,196x = 1,283,024,547,636 × 1,283,024,547,636
  4. Step 4: Simplify right side
    599,098,676,196x = 1,646,151,989,836,562,328,190,976
  5. Step 5: Solve for x
    x = 1,646,151,989,836,562,328,190,976/599,098,676,196
  6. Step 6: Final answer
    x = 2,747,714,283,544.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.