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Finding the Third Proportional to 345,184,490.67 and 754,937,832.66

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Solution

The third proportional to 345,184,490.67 and 754,937,832.66 is: 1,651,091,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,184,490.67 : 754,937,832.66 = 754,937,832.66 : x
  2. Step 2: Convert to fraction form
    345,184,490.67/754,937,832.66 = 754,937,832.66/x
  3. Step 3: Cross multiply
    345,184,490.67x = 754,937,832.66 × 754,937,832.66
  4. Step 4: Simplify right side
    345,184,490.67x = 569,931,131,175,716,160
  5. Step 5: Solve for x
    x = 569,931,131,175,716,160/345,184,490.67
  6. Step 6: Final answer
    x = 1,651,091,362.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.