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Finding the Third Proportional to 7,614,144 and 11,210,688

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Solution

The third proportional to 7,614,144 and 11,210,688 is: 16,506,061.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614,144 : 11,210,688 = 11,210,688 : x
  2. Step 2: Convert to fraction form
    7,614,144/11,210,688 = 11,210,688/x
  3. Step 3: Cross multiply
    7,614,144x = 11,210,688 × 11,210,688
  4. Step 4: Simplify right side
    7,614,144x = 125,679,525,433,344
  5. Step 5: Solve for x
    x = 125,679,525,433,344/7,614,144
  6. Step 6: Final answer
    x = 16,506,061.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.