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Finding the Third Proportional to 5,833,384 and 9,130,024

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Solution

The third proportional to 5,833,384 and 9,130,024 is: 14,289,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833,384 : 9,130,024 = 9,130,024 : x
  2. Step 2: Convert to fraction form
    5,833,384/9,130,024 = 9,130,024/x
  3. Step 3: Cross multiply
    5,833,384x = 9,130,024 × 9,130,024
  4. Step 4: Simplify right side
    5,833,384x = 83,357,338,240,576
  5. Step 5: Solve for x
    x = 83,357,338,240,576/5,833,384
  6. Step 6: Final answer
    x = 14,289,705.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.