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Finding the Third Proportional to 113,734,767 and 245,592,642

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Solution

The third proportional to 113,734,767 and 245,592,642 is: 530,319,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,734,767 : 245,592,642 = 245,592,642 : x
  2. Step 2: Convert to fraction form
    113,734,767/245,592,642 = 245,592,642/x
  3. Step 3: Cross multiply
    113,734,767x = 245,592,642 × 245,592,642
  4. Step 4: Simplify right side
    113,734,767x = 60,315,745,804,540,160
  5. Step 5: Solve for x
    x = 60,315,745,804,540,160/113,734,767
  6. Step 6: Final answer
    x = 530,319,333.27

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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.