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Finding the Third Proportional to 255,523,637.81 and 555,887,615.06

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Solution

The third proportional to 255,523,637.81 and 555,887,615.06 is: 1,209,324,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,523,637.81 : 555,887,615.06 = 555,887,615.06 : x
  2. Step 2: Convert to fraction form
    255,523,637.81/555,887,615.06 = 555,887,615.06/x
  3. Step 3: Cross multiply
    255,523,637.81x = 555,887,615.06 × 555,887,615.06
  4. Step 4: Simplify right side
    255,523,637.81x = 309,011,040,579,874,176
  5. Step 5: Solve for x
    x = 309,011,040,579,874,176/255,523,637.81
  6. Step 6: Final answer
    x = 1,209,324,676.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.