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Finding the Third Proportional to 1,618,134,004 and 3,551,229,776

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Solution

The third proportional to 1,618,134,004 and 3,551,229,776 is: 7,793,688,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618,134,004 : 3,551,229,776 = 3,551,229,776 : x
  2. Step 2: Convert to fraction form
    1,618,134,004/3,551,229,776 = 3,551,229,776/x
  3. Step 3: Cross multiply
    1,618,134,004x = 3,551,229,776 × 3,551,229,776
  4. Step 4: Simplify right side
    1,618,134,004x = 12,611,232,921,949,009,920
  5. Step 5: Solve for x
    x = 12,611,232,921,949,009,920/1,618,134,004
  6. Step 6: Final answer
    x = 7,793,688,835.89

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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.