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Finding the Third Proportional to 27,063,584 and 56,784,352

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Solution

The third proportional to 27,063,584 and 56,784,352 is: 119,143,962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,063,584 : 56,784,352 = 56,784,352 : x
  2. Step 2: Convert to fraction form
    27,063,584/56,784,352 = 56,784,352/x
  3. Step 3: Cross multiply
    27,063,584x = 56,784,352 × 56,784,352
  4. Step 4: Simplify right side
    27,063,584x = 3,224,462,632,059,904
  5. Step 5: Solve for x
    x = 3,224,462,632,059,904/27,063,584
  6. Step 6: Final answer
    x = 119,143,962.31

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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.