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Finding the Third Proportional to 1,618,133,985 and 3,551,229,738

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Solution

The third proportional to 1,618,133,985 and 3,551,229,738 is: 7,793,688,760.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618,133,985 : 3,551,229,738 = 3,551,229,738 : x
  2. Step 2: Convert to fraction form
    1,618,133,985/3,551,229,738 = 3,551,229,738/x
  3. Step 3: Cross multiply
    1,618,133,985x = 3,551,229,738 × 3,551,229,738
  4. Step 4: Simplify right side
    1,618,133,985x = 12,611,232,652,055,547,904
  5. Step 5: Solve for x
    x = 12,611,232,652,055,547,904/1,618,133,985
  6. Step 6: Final answer
    x = 7,793,688,760.61

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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.