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Finding the Third Proportional to 236,583,778 and 514,827,025

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Solution

The third proportional to 236,583,778 and 514,827,025 is: 1,120,308,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,583,778 : 514,827,025 = 514,827,025 : x
  2. Step 2: Convert to fraction form
    236,583,778/514,827,025 = 514,827,025/x
  3. Step 3: Cross multiply
    236,583,778x = 514,827,025 × 514,827,025
  4. Step 4: Simplify right side
    236,583,778x = 265,046,865,670,350,624
  5. Step 5: Solve for x
    x = 265,046,865,670,350,624/236,583,778
  6. Step 6: Final answer
    x = 1,120,308,703.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.