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Finding the Third Proportional to 1,618,148,457 and 3,551,261,778

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Solution

The third proportional to 1,618,148,457 and 3,551,261,778 is: 7,793,759,689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618,148,457 : 3,551,261,778 = 3,551,261,778 : x
  2. Step 2: Convert to fraction form
    1,618,148,457/3,551,261,778 = 3,551,261,778/x
  3. Step 3: Cross multiply
    1,618,148,457x = 3,551,261,778 × 3,551,261,778
  4. Step 4: Simplify right side
    1,618,148,457x = 12,611,460,215,883,720,704
  5. Step 5: Solve for x
    x = 12,611,460,215,883,720,704/1,618,148,457
  6. Step 6: Final answer
    x = 7,793,759,689.56

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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.