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Finding the Third Proportional to 34,716,111 and 47,284,971

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Solution

The third proportional to 34,716,111 and 47,284,971 is: 64,404,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,716,111 : 47,284,971 = 47,284,971 : x
  2. Step 2: Convert to fraction form
    34,716,111/47,284,971 = 47,284,971/x
  3. Step 3: Cross multiply
    34,716,111x = 47,284,971 × 47,284,971
  4. Step 4: Simplify right side
    34,716,111x = 2,235,868,482,470,841
  5. Step 5: Solve for x
    x = 2,235,868,482,470,841/34,716,111
  6. Step 6: Final answer
    x = 64,404,347.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.