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Finding the Third Proportional to 4,682,116,051.88 and 6,764,849,149.88

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Solution

The third proportional to 4,682,116,051.88 and 6,764,849,149.88 is: 9,774,038,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682,116,051.88 : 6,764,849,149.88 = 6,764,849,149.88 : x
  2. Step 2: Convert to fraction form
    4,682,116,051.88/6,764,849,149.88 = 6,764,849,149.88/x
  3. Step 3: Cross multiply
    4,682,116,051.88x = 6,764,849,149.88 × 6,764,849,149.88
  4. Step 4: Simplify right side
    4,682,116,051.88x = 45,763,184,020,564,508,672
  5. Step 5: Solve for x
    x = 45,763,184,020,564,508,672/4,682,116,051.88
  6. Step 6: Final answer
    x = 9,774,038,813.55

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.