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Finding the Third Proportional to 438,654,858 and 963,408,018

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Solution

The third proportional to 438,654,858 and 963,408,018 is: 2,115,911,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,654,858 : 963,408,018 = 963,408,018 : x
  2. Step 2: Convert to fraction form
    438,654,858/963,408,018 = 963,408,018/x
  3. Step 3: Cross multiply
    438,654,858x = 963,408,018 × 963,408,018
  4. Step 4: Simplify right side
    438,654,858x = 928,155,009,146,688,384
  5. Step 5: Solve for x
    x = 928,155,009,146,688,384/438,654,858
  6. Step 6: Final answer
    x = 2,115,911,843.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.