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Finding the Third Proportional to 807,563,958 and 1,756,845,516

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Solution

The third proportional to 807,563,958 and 1,756,845,516 is: 3,821,995,937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,563,958 : 1,756,845,516 = 1,756,845,516 : x
  2. Step 2: Convert to fraction form
    807,563,958/1,756,845,516 = 1,756,845,516/x
  3. Step 3: Cross multiply
    807,563,958x = 1,756,845,516 × 1,756,845,516
  4. Step 4: Simplify right side
    807,563,958x = 3,086,506,167,089,306,112
  5. Step 5: Solve for x
    x = 3,086,506,167,089,306,112/807,563,958
  6. Step 6: Final answer
    x = 3,821,995,937.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.