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Finding the Third Proportional to 19,630,560 and 29,977,278

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Solution

The third proportional to 19,630,560 and 29,977,278 is: 45,777,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,630,560 : 29,977,278 = 29,977,278 : x
  2. Step 2: Convert to fraction form
    19,630,560/29,977,278 = 29,977,278/x
  3. Step 3: Cross multiply
    19,630,560x = 29,977,278 × 29,977,278
  4. Step 4: Simplify right side
    19,630,560x = 898,637,196,289,284
  5. Step 5: Solve for x
    x = 898,637,196,289,284/19,630,560
  6. Step 6: Final answer
    x = 45,777,461.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.