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Finding the Third Proportional to 1,711,346,049 and 3,750,768,342

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Solution

The third proportional to 1,711,346,049 and 3,750,768,342 is: 8,220,583,536.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711,346,049 : 3,750,768,342 = 3,750,768,342 : x
  2. Step 2: Convert to fraction form
    1,711,346,049/3,750,768,342 = 3,750,768,342/x
  3. Step 3: Cross multiply
    1,711,346,049x = 3,750,768,342 × 3,750,768,342
  4. Step 4: Simplify right side
    1,711,346,049x = 14,068,263,155,349,428,224
  5. Step 5: Solve for x
    x = 14,068,263,155,349,428,224/1,711,346,049
  6. Step 6: Final answer
    x = 8,220,583,536.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.