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Finding the Third Proportional to 6,460,260 and 9,409,968

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Solution

The third proportional to 6,460,260 and 9,409,968 is: 13,706,491.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460,260 : 9,409,968 = 9,409,968 : x
  2. Step 2: Convert to fraction form
    6,460,260/9,409,968 = 9,409,968/x
  3. Step 3: Cross multiply
    6,460,260x = 9,409,968 × 9,409,968
  4. Step 4: Simplify right side
    6,460,260x = 88,547,497,761,024
  5. Step 5: Solve for x
    x = 88,547,497,761,024/6,460,260
  6. Step 6: Final answer
    x = 13,706,491.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.