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Finding the Third Proportional to 7,129,584 and 14,846,688

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Solution

The third proportional to 7,129,584 and 14,846,688 is: 30,916,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129,584 : 14,846,688 = 14,846,688 : x
  2. Step 2: Convert to fraction form
    7,129,584/14,846,688 = 14,846,688/x
  3. Step 3: Cross multiply
    7,129,584x = 14,846,688 × 14,846,688
  4. Step 4: Simplify right side
    7,129,584x = 220,424,144,569,344
  5. Step 5: Solve for x
    x = 220,424,144,569,344/7,129,584
  6. Step 6: Final answer
    x = 30,916,831.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.