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Finding the Third Proportional to 335,908,668 and 736,387,416

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Solution

The third proportional to 335,908,668 and 736,387,416 is: 1,614,326,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,908,668 : 736,387,416 = 736,387,416 : x
  2. Step 2: Convert to fraction form
    335,908,668/736,387,416 = 736,387,416/x
  3. Step 3: Cross multiply
    335,908,668x = 736,387,416 × 736,387,416
  4. Step 4: Simplify right side
    335,908,668x = 542,266,426,443,157,056
  5. Step 5: Solve for x
    x = 542,266,426,443,157,056/335,908,668
  6. Step 6: Final answer
    x = 1,614,326,982.60

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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.