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Finding the Third Proportional to 2,429,415.28 and 5,316,460.31

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Solution

The third proportional to 2,429,415.28 and 5,316,460.31 is: 11,634,383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,415.28 : 5,316,460.31 = 5,316,460.31 : x
  2. Step 2: Convert to fraction form
    2,429,415.28/5,316,460.31 = 5,316,460.31/x
  3. Step 3: Cross multiply
    2,429,415.28x = 5,316,460.31 × 5,316,460.31
  4. Step 4: Simplify right side
    2,429,415.28x = 28,264,750,254,387.60
  5. Step 5: Solve for x
    x = 28,264,750,254,387.60/2,429,415.28
  6. Step 6: Final answer
    x = 11,634,383.99

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Why These Related Problems?

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