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Finding the Third Proportional to 6,283,708,981 and 13,670,649,702

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Solution

The third proportional to 6,283,708,981 and 13,670,649,702 is: 29,741,457,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,708,981 : 13,670,649,702 = 13,670,649,702 : x
  2. Step 2: Convert to fraction form
    6,283,708,981/13,670,649,702 = 13,670,649,702/x
  3. Step 3: Cross multiply
    6,283,708,981x = 13,670,649,702 × 13,670,649,702
  4. Step 4: Simplify right side
    6,283,708,981x = 186,886,663,274,792,681,472
  5. Step 5: Solve for x
    x = 186,886,663,274,792,681,472/6,283,708,981
  6. Step 6: Final answer
    x = 29,741,457,448.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.