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Finding the Third Proportional to 706,938,097 and 1,487,136,321

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Solution

The third proportional to 706,938,097 and 1,487,136,321 is: 3,128,384,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,938,097 : 1,487,136,321 = 1,487,136,321 : x
  2. Step 2: Convert to fraction form
    706,938,097/1,487,136,321 = 1,487,136,321/x
  3. Step 3: Cross multiply
    706,938,097x = 1,487,136,321 × 1,487,136,321
  4. Step 4: Simplify right side
    706,938,097x = 2,211,574,437,237,415,168
  5. Step 5: Solve for x
    x = 2,211,574,437,237,415,168/706,938,097
  6. Step 6: Final answer
    x = 3,128,384,856.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.