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Finding the Third Proportional to 14,838,683,576 and 32,001,824,476

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Solution

The third proportional to 14,838,683,576 and 32,001,824,476 is: 69,016,686,321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838,683,576 : 32,001,824,476 = 32,001,824,476 : x
  2. Step 2: Convert to fraction form
    14,838,683,576/32,001,824,476 = 32,001,824,476/x
  3. Step 3: Cross multiply
    14,838,683,576x = 32,001,824,476 × 32,001,824,476
  4. Step 4: Simplify right side
    14,838,683,576x = 1,024,116,769,792,712,638,464
  5. Step 5: Solve for x
    x = 1,024,116,769,792,712,638,464/14,838,683,576
  6. Step 6: Final answer
    x = 69,016,686,321.76

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