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Finding the Third Proportional to 6,596,316 and 10,090,641

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Solution

The third proportional to 6,596,316 and 10,090,641 is: 15,436,045.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596,316 : 10,090,641 = 10,090,641 : x
  2. Step 2: Convert to fraction form
    6,596,316/10,090,641 = 10,090,641/x
  3. Step 3: Cross multiply
    6,596,316x = 10,090,641 × 10,090,641
  4. Step 4: Simplify right side
    6,596,316x = 101,821,035,790,881
  5. Step 5: Solve for x
    x = 101,821,035,790,881/6,596,316
  6. Step 6: Final answer
    x = 15,436,045.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.