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Finding the Third Proportional to 30,401,274,273 and 65,377,835,783.63

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Solution

The third proportional to 30,401,274,273 and 65,377,835,783.63 is: 140,594,811,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,401,274,273 : 65,377,835,783.63 = 65,377,835,783.63 : x
  2. Step 2: Convert to fraction form
    30,401,274,273/65,377,835,783.63 = 65,377,835,783.63/x
  3. Step 3: Cross multiply
    30,401,274,273x = 65,377,835,783.63 × 65,377,835,783.63
  4. Step 4: Simplify right side
    30,401,274,273x = 4,274,261,411,750,637,731,840
  5. Step 5: Solve for x
    x = 4,274,261,411,750,637,731,840/30,401,274,273
  6. Step 6: Final answer
    x = 140,594,811,038.78

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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.