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Finding the Third Proportional to 468,164,820 and 1,029,000,120

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Solution

The third proportional to 468,164,820 and 1,029,000,120 is: 2,261,684,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,164,820 : 1,029,000,120 = 1,029,000,120 : x
  2. Step 2: Convert to fraction form
    468,164,820/1,029,000,120 = 1,029,000,120/x
  3. Step 3: Cross multiply
    468,164,820x = 1,029,000,120 × 1,029,000,120
  4. Step 4: Simplify right side
    468,164,820x = 1,058,841,246,960,014,336
  5. Step 5: Solve for x
    x = 1,058,841,246,960,014,336/468,164,820
  6. Step 6: Final answer
    x = 2,261,684,777.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.