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Finding the Third Proportional to 283,258,116.60 and 609,562,967.48

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Solution

The third proportional to 283,258,116.60 and 609,562,967.48 is: 1,311,761,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,258,116.60 : 609,562,967.48 = 609,562,967.48 : x
  2. Step 2: Convert to fraction form
    283,258,116.60/609,562,967.48 = 609,562,967.48/x
  3. Step 3: Cross multiply
    283,258,116.60x = 609,562,967.48 × 609,562,967.48
  4. Step 4: Simplify right side
    283,258,116.60x = 371,567,011,328,363,328
  5. Step 5: Solve for x
    x = 371,567,011,328,363,328/283,258,116.60
  6. Step 6: Final answer
    x = 1,311,761,215.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.