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Finding the Third Proportional to 5,174,292 and 10,884,786

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Solution

The third proportional to 5,174,292 and 10,884,786 is: 22,897,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174,292 : 10,884,786 = 10,884,786 : x
  2. Step 2: Convert to fraction form
    5,174,292/10,884,786 = 10,884,786/x
  3. Step 3: Cross multiply
    5,174,292x = 10,884,786 × 10,884,786
  4. Step 4: Simplify right side
    5,174,292x = 118,478,566,265,796
  5. Step 5: Solve for x
    x = 118,478,566,265,796/5,174,292
  6. Step 6: Final answer
    x = 22,897,541.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.