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Finding the Third Proportional to 1,625,453,565 and 3,561,445,821

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Solution

The third proportional to 1,625,453,565 and 3,561,445,821 is: 7,803,296,636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625,453,565 : 3,561,445,821 = 3,561,445,821 : x
  2. Step 2: Convert to fraction form
    1,625,453,565/3,561,445,821 = 3,561,445,821/x
  3. Step 3: Cross multiply
    1,625,453,565x = 3,561,445,821 × 3,561,445,821
  4. Step 4: Simplify right side
    1,625,453,565x = 12,683,896,335,918,364,672
  5. Step 5: Solve for x
    x = 12,683,896,335,918,364,672/1,625,453,565
  6. Step 6: Final answer
    x = 7,803,296,636.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.