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Finding the Third Proportional to 6,930,776,448 and 14,966,397,984

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Solution

The third proportional to 6,930,776,448 and 14,966,397,984 is: 32,318,611,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930,776,448 : 14,966,397,984 = 14,966,397,984 : x
  2. Step 2: Convert to fraction form
    6,930,776,448/14,966,397,984 = 14,966,397,984/x
  3. Step 3: Cross multiply
    6,930,776,448x = 14,966,397,984 × 14,966,397,984
  4. Step 4: Simplify right side
    6,930,776,448x = 223,993,068,615,479,263,232
  5. Step 5: Solve for x
    x = 223,993,068,615,479,263,232/6,930,776,448
  6. Step 6: Final answer
    x = 32,318,611,095.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.