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Finding the Third Proportional to 53,615,523 and 82,849,655

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Solution

The third proportional to 53,615,523 and 82,849,655 is: 128,023,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,615,523 : 82,849,655 = 82,849,655 : x
  2. Step 2: Convert to fraction form
    53,615,523/82,849,655 = 82,849,655/x
  3. Step 3: Cross multiply
    53,615,523x = 82,849,655 × 82,849,655
  4. Step 4: Simplify right side
    53,615,523x = 6,864,065,333,619,025
  5. Step 5: Solve for x
    x = 6,864,065,333,619,025/53,615,523
  6. Step 6: Final answer
    x = 128,023,843.65

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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.