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Finding the Third Proportional to 711,447,166 and 1,541,637,415

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Solution

The third proportional to 711,447,166 and 1,541,637,415 is: 3,340,579,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,447,166 : 1,541,637,415 = 1,541,637,415 : x
  2. Step 2: Convert to fraction form
    711,447,166/1,541,637,415 = 1,541,637,415/x
  3. Step 3: Cross multiply
    711,447,166x = 1,541,637,415 × 1,541,637,415
  4. Step 4: Simplify right side
    711,447,166x = 2,376,645,919,327,882,240
  5. Step 5: Solve for x
    x = 2,376,645,919,327,882,240/711,447,166
  6. Step 6: Final answer
    x = 3,340,579,642.32

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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.