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Finding the Third Proportional to 14,685,768 and 31,812,264

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Solution

The third proportional to 14,685,768 and 31,812,264 is: 68,911,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,685,768 : 31,812,264 = 31,812,264 : x
  2. Step 2: Convert to fraction form
    14,685,768/31,812,264 = 31,812,264/x
  3. Step 3: Cross multiply
    14,685,768x = 31,812,264 × 31,812,264
  4. Step 4: Simplify right side
    14,685,768x = 1,012,020,140,805,696
  5. Step 5: Solve for x
    x = 1,012,020,140,805,696/14,685,768
  6. Step 6: Final answer
    x = 68,911,625.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.