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Finding the Third Proportional to 245,426,733 and 370,685,184

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Solution

The third proportional to 245,426,733 and 370,685,184 is: 559,871,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,426,733 : 370,685,184 = 370,685,184 : x
  2. Step 2: Convert to fraction form
    245,426,733/370,685,184 = 370,685,184/x
  3. Step 3: Cross multiply
    245,426,733x = 370,685,184 × 370,685,184
  4. Step 4: Simplify right side
    245,426,733x = 137,407,505,637,113,856
  5. Step 5: Solve for x
    x = 137,407,505,637,113,856/245,426,733
  6. Step 6: Final answer
    x = 559,871,795.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.