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Finding the Third Proportional to 300,818,511,681 and 455,096,705,761

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Solution

The third proportional to 300,818,511,681 and 455,096,705,761 is: 688,498,225,847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,818,511,681 : 455,096,705,761 = 455,096,705,761 : x
  2. Step 2: Convert to fraction form
    300,818,511,681/455,096,705,761 = 455,096,705,761/x
  3. Step 3: Cross multiply
    300,818,511,681x = 455,096,705,761 × 455,096,705,761
  4. Step 4: Simplify right side
    300,818,511,681x = 207,113,011,594,514,220,974,080
  5. Step 5: Solve for x
    x = 207,113,011,594,514,220,974,080/300,818,511,681
  6. Step 6: Final answer
    x = 688,498,225,847.70

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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.