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Finding the Third Proportional to 40,486,221,636,476 and 61,676,575,537,194

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Solution

The third proportional to 40,486,221,636,476 and 61,676,575,537,194 is: 93,957,890,270,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,486,221,636,476 : 61,676,575,537,194 = 61,676,575,537,194 : x
  2. Step 2: Convert to fraction form
    40,486,221,636,476/61,676,575,537,194 = 61,676,575,537,194/x
  3. Step 3: Cross multiply
    40,486,221,636,476x = 61,676,575,537,194 × 61,676,575,537,194
  4. Step 4: Simplify right side
    40,486,221,636,476x = 3,803,999,969,995,197,372,967,157,760
  5. Step 5: Solve for x
    x = 3,803,999,969,995,197,372,967,157,760/40,486,221,636,476
  6. Step 6: Final answer
    x = 93,957,890,270,698.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.