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Finding the Third Proportional to 1,654,968,626 and 3,600,500,343

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Solution

The third proportional to 1,654,968,626 and 3,600,500,343 is: 7,833,141,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654,968,626 : 3,600,500,343 = 3,600,500,343 : x
  2. Step 2: Convert to fraction form
    1,654,968,626/3,600,500,343 = 3,600,500,343/x
  3. Step 3: Cross multiply
    1,654,968,626x = 3,600,500,343 × 3,600,500,343
  4. Step 4: Simplify right side
    1,654,968,626x = 12,963,602,719,943,116,800
  5. Step 5: Solve for x
    x = 12,963,602,719,943,116,800/1,654,968,626
  6. Step 6: Final answer
    x = 7,833,141,073.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.