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Finding the Third Proportional to 932,714,999,577 and 1,433,013,511,320

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Solution

The third proportional to 932,714,999,577 and 1,433,013,511,320 is: 2,201,666,880,619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,714,999,577 : 1,433,013,511,320 = 1,433,013,511,320 : x
  2. Step 2: Convert to fraction form
    932,714,999,577/1,433,013,511,320 = 1,433,013,511,320/x
  3. Step 3: Cross multiply
    932,714,999,577x = 1,433,013,511,320 × 1,433,013,511,320
  4. Step 4: Simplify right side
    932,714,999,577x = 2,053,527,723,625,675,860,475,904
  5. Step 5: Solve for x
    x = 2,053,527,723,625,675,860,475,904/932,714,999,577
  6. Step 6: Final answer
    x = 2,201,666,880,619.46

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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.