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Finding the Third Proportional to 297,114,484.50 and 651,624,624

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Solution

The third proportional to 297,114,484.50 and 651,624,624 is: 1,429,128,072.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,114,484.50 : 651,624,624 = 651,624,624 : x
  2. Step 2: Convert to fraction form
    297,114,484.50/651,624,624 = 651,624,624/x
  3. Step 3: Cross multiply
    297,114,484.50x = 651,624,624 × 651,624,624
  4. Step 4: Simplify right side
    297,114,484.50x = 424,614,650,603,141,376
  5. Step 5: Solve for x
    x = 424,614,650,603,141,376/297,114,484.50
  6. Step 6: Final answer
    x = 1,429,128,072.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.