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Finding the Third Proportional to 7,083,885,778 and 15,502,226,466

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Solution

The third proportional to 7,083,885,778 and 15,502,226,466 is: 33,924,745,956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083,885,778 : 15,502,226,466 = 15,502,226,466 : x
  2. Step 2: Convert to fraction form
    7,083,885,778/15,502,226,466 = 15,502,226,466/x
  3. Step 3: Cross multiply
    7,083,885,778x = 15,502,226,466 × 15,502,226,466
  4. Step 4: Simplify right side
    7,083,885,778x = 240,319,025,403,150,860,288
  5. Step 5: Solve for x
    x = 240,319,025,403,150,860,288/7,083,885,778
  6. Step 6: Final answer
    x = 33,924,745,956.45

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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.