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Finding the Third Proportional to 6,292,029 and 13,784,553

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Solution

The third proportional to 6,292,029 and 13,784,553 is: 30,199,145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292,029 : 13,784,553 = 13,784,553 : x
  2. Step 2: Convert to fraction form
    6,292,029/13,784,553 = 13,784,553/x
  3. Step 3: Cross multiply
    6,292,029x = 13,784,553 × 13,784,553
  4. Step 4: Simplify right side
    6,292,029x = 190,013,901,409,809
  5. Step 5: Solve for x
    x = 190,013,901,409,809/6,292,029
  6. Step 6: Final answer
    x = 30,199,145.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.