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Finding the Third Proportional to 1,829,692,840 and 2,827,178,780

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Solution

The third proportional to 1,829,692,840 and 2,827,178,780 is: 4,368,459,929.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829,692,840 : 2,827,178,780 = 2,827,178,780 : x
  2. Step 2: Convert to fraction form
    1,829,692,840/2,827,178,780 = 2,827,178,780/x
  3. Step 3: Cross multiply
    1,829,692,840x = 2,827,178,780 × 2,827,178,780
  4. Step 4: Simplify right side
    1,829,692,840x = 7,992,939,854,082,288,640
  5. Step 5: Solve for x
    x = 7,992,939,854,082,288,640/1,829,692,840
  6. Step 6: Final answer
    x = 4,368,459,929.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.