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Finding the Third Proportional to 847,357,854 and 1,828,481,052

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Solution

The third proportional to 847,357,854 and 1,828,481,052 is: 3,945,609,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,357,854 : 1,828,481,052 = 1,828,481,052 : x
  2. Step 2: Convert to fraction form
    847,357,854/1,828,481,052 = 1,828,481,052/x
  3. Step 3: Cross multiply
    847,357,854x = 1,828,481,052 × 1,828,481,052
  4. Step 4: Simplify right side
    847,357,854x = 3,343,342,957,523,026,944
  5. Step 5: Solve for x
    x = 3,343,342,957,523,026,944/847,357,854
  6. Step 6: Final answer
    x = 3,945,609,215.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.