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Finding the Third Proportional to 1,502,935,778 and 2,415,961,407

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Solution

The third proportional to 1,502,935,778 and 2,415,961,407 is: 3,883,645,333.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502,935,778 : 2,415,961,407 = 2,415,961,407 : x
  2. Step 2: Convert to fraction form
    1,502,935,778/2,415,961,407 = 2,415,961,407/x
  3. Step 3: Cross multiply
    1,502,935,778x = 2,415,961,407 × 2,415,961,407
  4. Step 4: Simplify right side
    1,502,935,778x = 5,836,869,520,113,419,264
  5. Step 5: Solve for x
    x = 5,836,869,520,113,419,264/1,502,935,778
  6. Step 6: Final answer
    x = 3,883,645,333.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.