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Finding the Third Proportional to 2,875,328,894 and 4,108,919,778

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Solution

The third proportional to 2,875,328,894 and 4,108,919,778 is: 5,871,753,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875,328,894 : 4,108,919,778 = 4,108,919,778 : x
  2. Step 2: Convert to fraction form
    2,875,328,894/4,108,919,778 = 4,108,919,778/x
  3. Step 3: Cross multiply
    2,875,328,894x = 4,108,919,778 × 4,108,919,778
  4. Step 4: Simplify right side
    2,875,328,894x = 16,883,221,742,039,568,384
  5. Step 5: Solve for x
    x = 16,883,221,742,039,568,384/2,875,328,894
  6. Step 6: Final answer
    x = 5,871,753,237.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.