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Finding the Third Proportional to 15,564,685,597,418 and 32,417,651,066,448

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Solution

The third proportional to 15,564,685,597,418 and 32,417,651,066,448 is: 67,518,492,043,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,564,685,597,418 : 32,417,651,066,448 = 32,417,651,066,448 : x
  2. Step 2: Convert to fraction form
    15,564,685,597,418/32,417,651,066,448 = 32,417,651,066,448/x
  3. Step 3: Cross multiply
    15,564,685,597,418x = 32,417,651,066,448 × 32,417,651,066,448
  4. Step 4: Simplify right side
    15,564,685,597,418x = 1,050,904,100,665,977,156,973,625,344
  5. Step 5: Solve for x
    x = 1,050,904,100,665,977,156,973,625,344/15,564,685,597,418
  6. Step 6: Final answer
    x = 67,518,492,043,315.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.