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Finding the Third Proportional to 35,522,460 and 77,688,216

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Solution

The third proportional to 35,522,460 and 77,688,216 is: 169,905,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,522,460 : 77,688,216 = 77,688,216 : x
  2. Step 2: Convert to fraction form
    35,522,460/77,688,216 = 77,688,216/x
  3. Step 3: Cross multiply
    35,522,460x = 77,688,216 × 77,688,216
  4. Step 4: Simplify right side
    35,522,460x = 6,035,458,905,262,656
  5. Step 5: Solve for x
    x = 6,035,458,905,262,656/35,522,460
  6. Step 6: Final answer
    x = 169,905,431.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.