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Finding the Third Proportional to 628,743,118,517 and 1,367,648,537,275

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Solution

The third proportional to 628,743,118,517 and 1,367,648,537,275 is: 2,974,923,249,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,743,118,517 : 1,367,648,537,275 = 1,367,648,537,275 : x
  2. Step 2: Convert to fraction form
    628,743,118,517/1,367,648,537,275 = 1,367,648,537,275/x
  3. Step 3: Cross multiply
    628,743,118,517x = 1,367,648,537,275 × 1,367,648,537,275
  4. Step 4: Simplify right side
    628,743,118,517x = 1,870,462,521,510,447,145,811,968
  5. Step 5: Solve for x
    x = 1,870,462,521,510,447,145,811,968/628,743,118,517
  6. Step 6: Final answer
    x = 2,974,923,249,931.16

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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.