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Finding the Third Proportional to 6,460,442 and 14,194,490

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Solution

The third proportional to 6,460,442 and 14,194,490 is: 31,187,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460,442 : 14,194,490 = 14,194,490 : x
  2. Step 2: Convert to fraction form
    6,460,442/14,194,490 = 14,194,490/x
  3. Step 3: Cross multiply
    6,460,442x = 14,194,490 × 14,194,490
  4. Step 4: Simplify right side
    6,460,442x = 201,483,546,360,100
  5. Step 5: Solve for x
    x = 201,483,546,360,100/6,460,442
  6. Step 6: Final answer
    x = 31,187,269.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.