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Finding the Third Proportional to 819,801,886,674.10 and 1,803,561,283,264.80

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Solution

The third proportional to 819,801,886,674.10 and 1,803,561,283,264.80 is: 3,967,828,514,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,801,886,674.10 : 1,803,561,283,264.80 = 1,803,561,283,264.80 : x
  2. Step 2: Convert to fraction form
    819,801,886,674.10/1,803,561,283,264.80 = 1,803,561,283,264.80/x
  3. Step 3: Cross multiply
    819,801,886,674.10x = 1,803,561,283,264.80 × 1,803,561,283,264.80
  4. Step 4: Simplify right side
    819,801,886,674.10x = 3,252,833,302,491,772,294,791,168
  5. Step 5: Solve for x
    x = 3,252,833,302,491,772,294,791,168/819,801,886,674.10
  6. Step 6: Final answer
    x = 3,967,828,514,872.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.