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Finding the Third Proportional to 219,211,776 and 477,013,536

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Solution

The third proportional to 219,211,776 and 477,013,536 is: 1,038,000,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,211,776 : 477,013,536 = 477,013,536 : x
  2. Step 2: Convert to fraction form
    219,211,776/477,013,536 = 477,013,536/x
  3. Step 3: Cross multiply
    219,211,776x = 477,013,536 × 477,013,536
  4. Step 4: Simplify right side
    219,211,776x = 227,541,913,527,223,296
  5. Step 5: Solve for x
    x = 227,541,913,527,223,296/219,211,776
  6. Step 6: Final answer
    x = 1,038,000,410.74

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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.