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Finding the Third Proportional to 9,673,688 and 14,459,986

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Solution

The third proportional to 9,673,688 and 14,459,986 is: 21,614,424.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673,688 : 14,459,986 = 14,459,986 : x
  2. Step 2: Convert to fraction form
    9,673,688/14,459,986 = 14,459,986/x
  3. Step 3: Cross multiply
    9,673,688x = 14,459,986 × 14,459,986
  4. Step 4: Simplify right side
    9,673,688x = 209,091,195,120,196
  5. Step 5: Solve for x
    x = 209,091,195,120,196/9,673,688
  6. Step 6: Final answer
    x = 21,614,424.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.