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Finding the Third Proportional to 932,714,999,579 and 1,433,013,511,323

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Solution

The third proportional to 932,714,999,579 and 1,433,013,511,323 is: 2,201,666,880,623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,714,999,579 : 1,433,013,511,323 = 1,433,013,511,323 : x
  2. Step 2: Convert to fraction form
    932,714,999,579/1,433,013,511,323 = 1,433,013,511,323/x
  3. Step 3: Cross multiply
    932,714,999,579x = 1,433,013,511,323 × 1,433,013,511,323
  4. Step 4: Simplify right side
    932,714,999,579x = 2,053,527,723,634,273,848,131,584
  5. Step 5: Solve for x
    x = 2,053,527,723,634,273,848,131,584/932,714,999,579
  6. Step 6: Final answer
    x = 2,201,666,880,623.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.