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Finding the Third Proportional to 291,314,232 and 624,180,461.63

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Solution

The third proportional to 291,314,232 and 624,180,461.63 is: 1,337,391,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,314,232 : 624,180,461.63 = 624,180,461.63 : x
  2. Step 2: Convert to fraction form
    291,314,232/624,180,461.63 = 624,180,461.63/x
  3. Step 3: Cross multiply
    291,314,232x = 624,180,461.63 × 624,180,461.63
  4. Step 4: Simplify right side
    291,314,232x = 389,601,248,674,398,080
  5. Step 5: Solve for x
    x = 389,601,248,674,398,080/291,314,232
  6. Step 6: Final answer
    x = 1,337,391,743.62

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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.