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Finding the Third Proportional to 354,723,883,887 and 734,591,837,742

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Solution

The third proportional to 354,723,883,887 and 734,591,837,742 is: 1,521,254,115,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,723,883,887 : 734,591,837,742 = 734,591,837,742 : x
  2. Step 2: Convert to fraction form
    354,723,883,887/734,591,837,742 = 734,591,837,742/x
  3. Step 3: Cross multiply
    354,723,883,887x = 734,591,837,742 × 734,591,837,742
  4. Step 4: Simplify right side
    354,723,883,887x = 539,625,168,077,168,880,648,192
  5. Step 5: Solve for x
    x = 539,625,168,077,168,880,648,192/354,723,883,887
  6. Step 6: Final answer
    x = 1,521,254,115,071.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.