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Finding the Third Proportional to 224,569,753.45 and 488,683,457.02

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Solution

The third proportional to 224,569,753.45 and 488,683,457.02 is: 1,063,418,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,569,753.45 : 488,683,457.02 = 488,683,457.02 : x
  2. Step 2: Convert to fraction form
    224,569,753.45/488,683,457.02 = 488,683,457.02/x
  3. Step 3: Cross multiply
    224,569,753.45x = 488,683,457.02 × 488,683,457.02
  4. Step 4: Simplify right side
    224,569,753.45x = 238,811,521,160,737,312
  5. Step 5: Solve for x
    x = 238,811,521,160,737,312/224,569,753.45
  6. Step 6: Final answer
    x = 1,063,418,013.73

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Why These Related Problems?

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