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Finding the Third Proportional to 271,862,513,392 and 426,472,056,294

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Solution

The third proportional to 271,862,513,392 and 426,472,056,294 is: 669,008,803,495.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,862,513,392 : 426,472,056,294 = 426,472,056,294 : x
  2. Step 2: Convert to fraction form
    271,862,513,392/426,472,056,294 = 426,472,056,294/x
  3. Step 3: Cross multiply
    271,862,513,392x = 426,472,056,294 × 426,472,056,294
  4. Step 4: Simplify right side
    271,862,513,392x = 181,878,414,799,632,697,655,296
  5. Step 5: Solve for x
    x = 181,878,414,799,632,697,655,296/271,862,513,392
  6. Step 6: Final answer
    x = 669,008,803,495.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.