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Finding the Third Proportional to 15,756,408,417 and 34,127,512,386

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Solution

The third proportional to 15,756,408,417 and 34,127,512,386 is: 73,918,311,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,756,408,417 : 34,127,512,386 = 34,127,512,386 : x
  2. Step 2: Convert to fraction form
    15,756,408,417/34,127,512,386 = 34,127,512,386/x
  3. Step 3: Cross multiply
    15,756,408,417x = 34,127,512,386 × 34,127,512,386
  4. Step 4: Simplify right side
    15,756,408,417x = 1,164,687,101,656,583,372,800
  5. Step 5: Solve for x
    x = 1,164,687,101,656,583,372,800/15,756,408,417
  6. Step 6: Final answer
    x = 73,918,311,256.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.