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Finding the Third Proportional to 15,564,685,597,420 and 32,417,651,066,452

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Solution

The third proportional to 15,564,685,597,420 and 32,417,651,066,452 is: 67,518,492,043,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,564,685,597,420 : 32,417,651,066,452 = 32,417,651,066,452 : x
  2. Step 2: Convert to fraction form
    15,564,685,597,420/32,417,651,066,452 = 32,417,651,066,452/x
  3. Step 3: Cross multiply
    15,564,685,597,420x = 32,417,651,066,452 × 32,417,651,066,452
  4. Step 4: Simplify right side
    15,564,685,597,420x = 1,050,904,100,666,236,504,278,827,008
  5. Step 5: Solve for x
    x = 1,050,904,100,666,236,504,278,827,008/15,564,685,597,420
  6. Step 6: Final answer
    x = 67,518,492,043,323.65

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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.