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Finding the Third Proportional to 1,408,479,153,642 and 3,050,837,924,909

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Solution

The third proportional to 1,408,479,153,642 and 3,050,837,924,909 is: 6,608,271,070,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408,479,153,642 : 3,050,837,924,909 = 3,050,837,924,909 : x
  2. Step 2: Convert to fraction form
    1,408,479,153,642/3,050,837,924,909 = 3,050,837,924,909/x
  3. Step 3: Cross multiply
    1,408,479,153,642x = 3,050,837,924,909 × 3,050,837,924,909
  4. Step 4: Simplify right side
    1,408,479,153,642x = 9,307,612,044,063,052,803,342,336
  5. Step 5: Solve for x
    x = 9,307,612,044,063,052,803,342,336/1,408,479,153,642
  6. Step 6: Final answer
    x = 6,608,271,070,250.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.