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Finding the Third Proportional to 682,299,045 and 997,860,613.50

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Solution

The third proportional to 682,299,045 and 997,860,613.50 is: 1,459,368,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,299,045 : 997,860,613.50 = 997,860,613.50 : x
  2. Step 2: Convert to fraction form
    682,299,045/997,860,613.50 = 997,860,613.50/x
  3. Step 3: Cross multiply
    682,299,045x = 997,860,613.50 × 997,860,613.50
  4. Step 4: Simplify right side
    682,299,045x = 995,725,803,974,596,352
  5. Step 5: Solve for x
    x = 995,725,803,974,596,352/682,299,045
  6. Step 6: Final answer
    x = 1,459,368,602.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.