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Finding the Third Proportional to 1,625,453,648 and 3,561,445,984

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Solution

The third proportional to 1,625,453,648 and 3,561,445,984 is: 7,803,296,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625,453,648 : 3,561,445,984 = 3,561,445,984 : x
  2. Step 2: Convert to fraction form
    1,625,453,648/3,561,445,984 = 3,561,445,984/x
  3. Step 3: Cross multiply
    1,625,453,648x = 3,561,445,984 × 3,561,445,984
  4. Step 4: Simplify right side
    1,625,453,648x = 12,683,897,496,949,727,232
  5. Step 5: Solve for x
    x = 12,683,897,496,949,727,232/1,625,453,648
  6. Step 6: Final answer
    x = 7,803,296,951.93

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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.