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Finding the Third Proportional to 595,005,312 and 1,285,617,408

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Solution

The third proportional to 595,005,312 and 1,285,617,408 is: 2,777,810,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,005,312 : 1,285,617,408 = 1,285,617,408 : x
  2. Step 2: Convert to fraction form
    595,005,312/1,285,617,408 = 1,285,617,408/x
  3. Step 3: Cross multiply
    595,005,312x = 1,285,617,408 × 1,285,617,408
  4. Step 4: Simplify right side
    595,005,312x = 1,652,812,119,752,638,464
  5. Step 5: Solve for x
    x = 1,652,812,119,752,638,464/595,005,312
  6. Step 6: Final answer
    x = 2,777,810,695.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.