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Finding the Third Proportional to 284,533,308 and 426,799,933

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Solution

The third proportional to 284,533,308 and 426,799,933 is: 640,199,856.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,533,308 : 426,799,933 = 426,799,933 : x
  2. Step 2: Convert to fraction form
    284,533,308/426,799,933 = 426,799,933/x
  3. Step 3: Cross multiply
    284,533,308x = 426,799,933 × 426,799,933
  4. Step 4: Simplify right side
    284,533,308x = 182,158,182,808,804,480
  5. Step 5: Solve for x
    x = 182,158,182,808,804,480/284,533,308
  6. Step 6: Final answer
    x = 640,199,856.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.