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Finding the Third Proportional to 299,516,031,376 and 609,492,434,720

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Solution

The third proportional to 299,516,031,376 and 609,492,434,720 is: 1,240,270,933,994.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,516,031,376 : 609,492,434,720 = 609,492,434,720 : x
  2. Step 2: Convert to fraction form
    299,516,031,376/609,492,434,720 = 609,492,434,720/x
  3. Step 3: Cross multiply
    299,516,031,376x = 609,492,434,720 × 609,492,434,720
  4. Step 4: Simplify right side
    299,516,031,376x = 371,481,027,980,913,459,331,072
  5. Step 5: Solve for x
    x = 371,481,027,980,913,459,331,072/299,516,031,376
  6. Step 6: Final answer
    x = 1,240,270,933,994.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.