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Finding the Third Proportional to 599,098,676,166 and 1,283,024,547,573

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Solution

The third proportional to 599,098,676,166 and 1,283,024,547,573 is: 2,747,714,283,412.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,098,676,166 : 1,283,024,547,573 = 1,283,024,547,573 : x
  2. Step 2: Convert to fraction form
    599,098,676,166/1,283,024,547,573 = 1,283,024,547,573/x
  3. Step 3: Cross multiply
    599,098,676,166x = 1,283,024,547,573 × 1,283,024,547,573
  4. Step 4: Simplify right side
    599,098,676,166x = 1,646,151,989,674,901,369,782,272
  5. Step 5: Solve for x
    x = 1,646,151,989,674,901,369,782,272/599,098,676,166
  6. Step 6: Final answer
    x = 2,747,714,283,412.61

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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.