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Finding the Third Proportional to 706,938,161.63 and 1,487,136,449.25

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Solution

The third proportional to 706,938,161.63 and 1,487,136,449.25 is: 3,128,385,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,938,161.63 : 1,487,136,449.25 = 1,487,136,449.25 : x
  2. Step 2: Convert to fraction form
    706,938,161.63/1,487,136,449.25 = 1,487,136,449.25/x
  3. Step 3: Cross multiply
    706,938,161.63x = 1,487,136,449.25 × 1,487,136,449.25
  4. Step 4: Simplify right side
    706,938,161.63x = 2,211,574,818,687,897,856
  5. Step 5: Solve for x
    x = 2,211,574,818,687,897,856/706,938,161.63
  6. Step 6: Final answer
    x = 3,128,385,110.24

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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.