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Finding the Third Proportional to 362,231,912 and 564,871,210.50

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Solution

The third proportional to 362,231,912 and 564,871,210.50 is: 880,870,718.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,231,912 : 564,871,210.50 = 564,871,210.50 : x
  2. Step 2: Convert to fraction form
    362,231,912/564,871,210.50 = 564,871,210.50/x
  3. Step 3: Cross multiply
    362,231,912x = 564,871,210.50 × 564,871,210.50
  4. Step 4: Simplify right side
    362,231,912x = 319,079,484,451,735,296
  5. Step 5: Solve for x
    x = 319,079,484,451,735,296/362,231,912
  6. Step 6: Final answer
    x = 880,870,718.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.