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Finding the Third Proportional to 345,582,020 and 755,705,080

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Solution

The third proportional to 345,582,020 and 755,705,080 is: 1,652,545,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,582,020 : 755,705,080 = 755,705,080 : x
  2. Step 2: Convert to fraction form
    345,582,020/755,705,080 = 755,705,080/x
  3. Step 3: Cross multiply
    345,582,020x = 755,705,080 × 755,705,080
  4. Step 4: Simplify right side
    345,582,020x = 571,090,167,937,806,400
  5. Step 5: Solve for x
    x = 571,090,167,937,806,400/345,582,020
  6. Step 6: Final answer
    x = 1,652,545,951.14

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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.