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Finding the Third Proportional to 2,564,103,076 and 5,556,164,018

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Solution

The third proportional to 2,564,103,076 and 5,556,164,018 is: 12,039,671,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,103,076 : 5,556,164,018 = 5,556,164,018 : x
  2. Step 2: Convert to fraction form
    2,564,103,076/5,556,164,018 = 5,556,164,018/x
  3. Step 3: Cross multiply
    2,564,103,076x = 5,556,164,018 × 5,556,164,018
  4. Step 4: Simplify right side
    2,564,103,076x = 30,870,958,594,917,904,384
  5. Step 5: Solve for x
    x = 30,870,958,594,917,904,384/2,564,103,076
  6. Step 6: Final answer
    x = 12,039,671,448.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.