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Finding the Third Proportional to 413,617,072 and 896,165,628

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Solution

The third proportional to 413,617,072 and 896,165,628 is: 1,941,682,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,617,072 : 896,165,628 = 896,165,628 : x
  2. Step 2: Convert to fraction form
    413,617,072/896,165,628 = 896,165,628/x
  3. Step 3: Cross multiply
    413,617,072x = 896,165,628 × 896,165,628
  4. Step 4: Simplify right side
    413,617,072x = 803,112,832,808,634,368
  5. Step 5: Solve for x
    x = 803,112,832,808,634,368/413,617,072
  6. Step 6: Final answer
    x = 1,941,682,022.28

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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.