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Finding the Third Proportional to 14,537,768 and 31,716,168

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Solution

The third proportional to 14,537,768 and 31,716,168 is: 69,193,242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537,768 : 31,716,168 = 31,716,168 : x
  2. Step 2: Convert to fraction form
    14,537,768/31,716,168 = 31,716,168/x
  3. Step 3: Cross multiply
    14,537,768x = 31,716,168 × 31,716,168
  4. Step 4: Simplify right side
    14,537,768x = 1,005,915,312,604,224
  5. Step 5: Solve for x
    x = 1,005,915,312,604,224/14,537,768
  6. Step 6: Final answer
    x = 69,193,242.91

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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.