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Finding the Third Proportional to 763,470,642,314 and 1,660,983,941,281

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Solution

The third proportional to 763,470,642,314 and 1,660,983,941,281 is: 3,613,587,085,459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,470,642,314 : 1,660,983,941,281 = 1,660,983,941,281 : x
  2. Step 2: Convert to fraction form
    763,470,642,314/1,660,983,941,281 = 1,660,983,941,281/x
  3. Step 3: Cross multiply
    763,470,642,314x = 1,660,983,941,281 × 1,660,983,941,281
  4. Step 4: Simplify right side
    763,470,642,314x = 2,758,867,653,193,364,699,873,280
  5. Step 5: Solve for x
    x = 2,758,867,653,193,364,699,873,280/763,470,642,314
  6. Step 6: Final answer
    x = 3,613,587,085,459.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.