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Finding the Third Proportional to 365,702,286 and 781,001,358

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Solution

The third proportional to 365,702,286 and 781,001,358 is: 1,667,922,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,702,286 : 781,001,358 = 781,001,358 : x
  2. Step 2: Convert to fraction form
    365,702,286/781,001,358 = 781,001,358/x
  3. Step 3: Cross multiply
    365,702,286x = 781,001,358 × 781,001,358
  4. Step 4: Simplify right side
    365,702,286x = 609,963,121,197,844,224
  5. Step 5: Solve for x
    x = 609,963,121,197,844,224/365,702,286
  6. Step 6: Final answer
    x = 1,667,922,636.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.