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Finding the Third Proportional to 14,265,643 and 31,157,774

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Solution

The third proportional to 14,265,643 and 31,157,774 is: 68,052,094.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265,643 : 31,157,774 = 31,157,774 : x
  2. Step 2: Convert to fraction form
    14,265,643/31,157,774 = 31,157,774/x
  3. Step 3: Cross multiply
    14,265,643x = 31,157,774 × 31,157,774
  4. Step 4: Simplify right side
    14,265,643x = 970,806,880,635,076
  5. Step 5: Solve for x
    x = 970,806,880,635,076/14,265,643
  6. Step 6: Final answer
    x = 68,052,094.16

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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.