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Finding the Third Proportional to 1,009,616,858 and 1,510,389,363

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Solution

The third proportional to 1,009,616,858 and 1,510,389,363 is: 2,259,546,292.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,616,858 : 1,510,389,363 = 1,510,389,363 : x
  2. Step 2: Convert to fraction form
    1,009,616,858/1,510,389,363 = 1,510,389,363/x
  3. Step 3: Cross multiply
    1,009,616,858x = 1,510,389,363 × 1,510,389,363
  4. Step 4: Simplify right side
    1,009,616,858x = 2,281,276,027,863,545,856
  5. Step 5: Solve for x
    x = 2,281,276,027,863,545,856/1,009,616,858
  6. Step 6: Final answer
    x = 2,259,546,292.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.