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Finding the Third Proportional to 6,174,683,830,224 and 9,341,440,639,908

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Solution

The third proportional to 6,174,683,830,224 and 9,341,440,639,908 is: 14,132,304,686,078.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174,683,830,224 : 9,341,440,639,908 = 9,341,440,639,908 : x
  2. Step 2: Convert to fraction form
    6,174,683,830,224/9,341,440,639,908 = 9,341,440,639,908/x
  3. Step 3: Cross multiply
    6,174,683,830,224x = 9,341,440,639,908 × 9,341,440,639,908
  4. Step 4: Simplify right side
    6,174,683,830,224x = 87,262,513,228,924,789,154,906,112
  5. Step 5: Solve for x
    x = 87,262,513,228,924,789,154,906,112/6,174,683,830,224
  6. Step 6: Final answer
    x = 14,132,304,686,078.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.