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Finding the Third Proportional to 6,510,490 and 14,141,840

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Solution

The third proportional to 6,510,490 and 14,141,840 is: 30,718,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510,490 : 14,141,840 = 14,141,840 : x
  2. Step 2: Convert to fraction form
    6,510,490/14,141,840 = 14,141,840/x
  3. Step 3: Cross multiply
    6,510,490x = 14,141,840 × 14,141,840
  4. Step 4: Simplify right side
    6,510,490x = 199,991,638,585,600
  5. Step 5: Solve for x
    x = 199,991,638,585,600/6,510,490
  6. Step 6: Final answer
    x = 30,718,369.68

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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.