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Finding the Third Proportional to 8,296,631,931 and 18,248,124,426

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Solution

The third proportional to 8,296,631,931 and 18,248,124,426 is: 40,136,051,332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296,631,931 : 18,248,124,426 = 18,248,124,426 : x
  2. Step 2: Convert to fraction form
    8,296,631,931/18,248,124,426 = 18,248,124,426/x
  3. Step 3: Cross multiply
    8,296,631,931x = 18,248,124,426 × 18,248,124,426
  4. Step 4: Simplify right side
    8,296,631,931x = 332,994,045,066,777,853,952
  5. Step 5: Solve for x
    x = 332,994,045,066,777,853,952/8,296,631,931
  6. Step 6: Final answer
    x = 40,136,051,332.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.