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Finding the Third Proportional to 9,219,737,901 and 19,837,818,819

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Solution

The third proportional to 9,219,737,901 and 19,837,818,819 is: 42,684,408,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219,737,901 : 19,837,818,819 = 19,837,818,819 : x
  2. Step 2: Convert to fraction form
    9,219,737,901/19,837,818,819 = 19,837,818,819/x
  3. Step 3: Cross multiply
    9,219,737,901x = 19,837,818,819 × 19,837,818,819
  4. Step 4: Simplify right side
    9,219,737,901x = 393,539,055,495,470,579,712
  5. Step 5: Solve for x
    x = 393,539,055,495,470,579,712/9,219,737,901
  6. Step 6: Final answer
    x = 42,684,408,138.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.