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Finding the Third Proportional to 2,233,706,480 and 4,910,516,656

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Solution

The third proportional to 2,233,706,480 and 4,910,516,656 is: 10,795,139,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233,706,480 : 4,910,516,656 = 4,910,516,656 : x
  2. Step 2: Convert to fraction form
    2,233,706,480/4,910,516,656 = 4,910,516,656/x
  3. Step 3: Cross multiply
    2,233,706,480x = 4,910,516,656 × 4,910,516,656
  4. Step 4: Simplify right side
    2,233,706,480x = 24,113,173,828,853,424,128
  5. Step 5: Solve for x
    x = 24,113,173,828,853,424,128/2,233,706,480
  6. Step 6: Final answer
    x = 10,795,139,847.05

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Why These Related Problems?

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