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Finding the Third Proportional to 628,743,118,506 and 1,367,648,537,253

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Solution

The third proportional to 628,743,118,506 and 1,367,648,537,253 is: 2,974,923,249,887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,743,118,506 : 1,367,648,537,253 = 1,367,648,537,253 : x
  2. Step 2: Convert to fraction form
    628,743,118,506/1,367,648,537,253 = 1,367,648,537,253/x
  3. Step 3: Cross multiply
    628,743,118,506x = 1,367,648,537,253 × 1,367,648,537,253
  4. Step 4: Simplify right side
    628,743,118,506x = 1,870,462,521,450,270,627,463,168
  5. Step 5: Solve for x
    x = 1,870,462,521,450,270,627,463,168/628,743,118,506
  6. Step 6: Final answer
    x = 2,974,923,249,887.50

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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.