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Finding the Third Proportional to 300,775,572,116 and 455,038,074,822

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Solution

The third proportional to 300,775,572,116 and 455,038,074,822 is: 688,419,102,924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,775,572,116 : 455,038,074,822 = 455,038,074,822 : x
  2. Step 2: Convert to fraction form
    300,775,572,116/455,038,074,822 = 455,038,074,822/x
  3. Step 3: Cross multiply
    300,775,572,116x = 455,038,074,822 × 455,038,074,822
  4. Step 4: Simplify right side
    300,775,572,116x = 207,059,649,537,712,077,144,064
  5. Step 5: Solve for x
    x = 207,059,649,537,712,077,144,064/300,775,572,116
  6. Step 6: Final answer
    x = 688,419,102,924.54

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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.