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Finding the Third Proportional to 491,592,771.88 and 1,053,304,539.50

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Solution

The third proportional to 491,592,771.88 and 1,053,304,539.50 is: 2,256,848,587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,592,771.88 : 1,053,304,539.50 = 1,053,304,539.50 : x
  2. Step 2: Convert to fraction form
    491,592,771.88/1,053,304,539.50 = 1,053,304,539.50/x
  3. Step 3: Cross multiply
    491,592,771.88x = 1,053,304,539.50 × 1,053,304,539.50
  4. Step 4: Simplify right side
    491,592,771.88x = 1,109,450,452,931,307,008
  5. Step 5: Solve for x
    x = 1,109,450,452,931,307,008/491,592,771.88
  6. Step 6: Final answer
    x = 2,256,848,587.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.