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Finding the Third Proportional to 5,833,396 and 9,130,038

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Solution

The third proportional to 5,833,396 and 9,130,038 is: 14,289,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833,396 : 9,130,038 = 9,130,038 : x
  2. Step 2: Convert to fraction form
    5,833,396/9,130,038 = 9,130,038/x
  3. Step 3: Cross multiply
    5,833,396x = 9,130,038 × 9,130,038
  4. Step 4: Simplify right side
    5,833,396x = 83,357,593,881,444
  5. Step 5: Solve for x
    x = 83,357,593,881,444/5,833,396
  6. Step 6: Final answer
    x = 14,289,719.72

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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.