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Finding the Third Proportional to 3,263,782,630,023.90 and 6,986,049,159,368.70

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Solution

The third proportional to 3,263,782,630,023.90 and 6,986,049,159,368.70 is: 14,953,472,209,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263,782,630,023.90 : 6,986,049,159,368.70 = 6,986,049,159,368.70 : x
  2. Step 2: Convert to fraction form
    3,263,782,630,023.90/6,986,049,159,368.70 = 6,986,049,159,368.70/x
  3. Step 3: Cross multiply
    3,263,782,630,023.90x = 6,986,049,159,368.70 × 6,986,049,159,368.70
  4. Step 4: Simplify right side
    3,263,782,630,023.90x = 48,804,882,857,116,120,052,137,984
  5. Step 5: Solve for x
    x = 48,804,882,857,116,120,052,137,984/3,263,782,630,023.90
  6. Step 6: Final answer
    x = 14,953,472,209,869.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.