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Finding the Third Proportional to 224,403,381,631 and 493,686,893,342

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Solution

The third proportional to 224,403,381,631 and 493,686,893,342 is: 1,086,109,963,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,403,381,631 : 493,686,893,342 = 493,686,893,342 : x
  2. Step 2: Convert to fraction form
    224,403,381,631/493,686,893,342 = 493,686,893,342/x
  3. Step 3: Cross multiply
    224,403,381,631x = 493,686,893,342 × 493,686,893,342
  4. Step 4: Simplify right side
    224,403,381,631x = 243,726,748,657,675,298,406,400
  5. Step 5: Solve for x
    x = 243,726,748,657,675,298,406,400/224,403,381,631
  6. Step 6: Final answer
    x = 1,086,109,963,612.09

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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.