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Finding the Third Proportional to 413,908,248 and 901,299,696

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Solution

The third proportional to 413,908,248 and 901,299,696 is: 1,962,611,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,908,248 : 901,299,696 = 901,299,696 : x
  2. Step 2: Convert to fraction form
    413,908,248/901,299,696 = 901,299,696/x
  3. Step 3: Cross multiply
    413,908,248x = 901,299,696 × 901,299,696
  4. Step 4: Simplify right side
    413,908,248x = 812,341,142,009,692,416
  5. Step 5: Solve for x
    x = 812,341,142,009,692,416/413,908,248
  6. Step 6: Final answer
    x = 1,962,611,631.77

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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.