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Finding the Third Proportional to 54,390,769 and 84,343,413

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Solution

The third proportional to 54,390,769 and 84,343,413 is: 130,790,783.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,390,769 : 84,343,413 = 84,343,413 : x
  2. Step 2: Convert to fraction form
    54,390,769/84,343,413 = 84,343,413/x
  3. Step 3: Cross multiply
    54,390,769x = 84,343,413 × 84,343,413
  4. Step 4: Simplify right side
    54,390,769x = 7,113,811,316,488,569
  5. Step 5: Solve for x
    x = 7,113,811,316,488,569/54,390,769
  6. Step 6: Final answer
    x = 130,790,783.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.