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Finding the Third Proportional to 1,001,369,216 and 2,031,037,564

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Solution

The third proportional to 1,001,369,216 and 2,031,037,564 is: 4,119,473,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,369,216 : 2,031,037,564 = 2,031,037,564 : x
  2. Step 2: Convert to fraction form
    1,001,369,216/2,031,037,564 = 2,031,037,564/x
  3. Step 3: Cross multiply
    1,001,369,216x = 2,031,037,564 × 2,031,037,564
  4. Step 4: Simplify right side
    1,001,369,216x = 4,125,113,586,379,054,080
  5. Step 5: Solve for x
    x = 4,125,113,586,379,054,080/1,001,369,216
  6. Step 6: Final answer
    x = 4,119,473,137.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.