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Finding the Third Proportional to 383,854,952 and 828,875,434.50

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Solution

The third proportional to 383,854,952 and 828,875,434.50 is: 1,789,828,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,854,952 : 828,875,434.50 = 828,875,434.50 : x
  2. Step 2: Convert to fraction form
    383,854,952/828,875,434.50 = 828,875,434.50/x
  3. Step 3: Cross multiply
    383,854,952x = 828,875,434.50 × 828,875,434.50
  4. Step 4: Simplify right side
    383,854,952x = 687,034,485,917,563,776
  5. Step 5: Solve for x
    x = 687,034,485,917,563,776/383,854,952
  6. Step 6: Final answer
    x = 1,789,828,377.46

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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.