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Finding the Third Proportional to 1,911,283,470 and 4,505,426,543.25

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Solution

The third proportional to 1,911,283,470 and 4,505,426,543.25 is: 10,620,543,030.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911,283,470 : 4,505,426,543.25 = 4,505,426,543.25 : x
  2. Step 2: Convert to fraction form
    1,911,283,470/4,505,426,543.25 = 4,505,426,543.25/x
  3. Step 3: Cross multiply
    1,911,283,470x = 4,505,426,543.25 × 4,505,426,543.25
  4. Step 4: Simplify right side
    1,911,283,470x = 20,298,868,336,621,645,824
  5. Step 5: Solve for x
    x = 20,298,868,336,621,645,824/1,911,283,470
  6. Step 6: Final answer
    x = 10,620,543,030.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.