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Finding the Third Proportional to 6,977,123,430 and 10,724,321,874

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Solution

The third proportional to 6,977,123,430 and 10,724,321,874 is: 16,484,025,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977,123,430 : 10,724,321,874 = 10,724,321,874 : x
  2. Step 2: Convert to fraction form
    6,977,123,430/10,724,321,874 = 10,724,321,874/x
  3. Step 3: Cross multiply
    6,977,123,430x = 10,724,321,874 × 10,724,321,874
  4. Step 4: Simplify right side
    6,977,123,430x = 115,011,079,657,154,871,296
  5. Step 5: Solve for x
    x = 115,011,079,657,154,871,296/6,977,123,430
  6. Step 6: Final answer
    x = 16,484,025,373.93

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.