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Finding the Third Proportional to 4,829,909,677 and 7,249,976,627

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Solution

The third proportional to 4,829,909,677 and 7,249,976,627 is: 10,882,638,518.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829,909,677 : 7,249,976,627 = 7,249,976,627 : x
  2. Step 2: Convert to fraction form
    4,829,909,677/7,249,976,627 = 7,249,976,627/x
  3. Step 3: Cross multiply
    4,829,909,677x = 7,249,976,627 × 7,249,976,627
  4. Step 4: Simplify right side
    4,829,909,677x = 52,562,161,092,046,299,136
  5. Step 5: Solve for x
    x = 52,562,161,092,046,299,136/4,829,909,677
  6. Step 6: Final answer
    x = 10,882,638,518.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.