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Finding the Third Proportional to 719,774,561,259 and 1,499,124,439,802.20

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Solution

The third proportional to 719,774,561,259 and 1,499,124,439,802.20 is: 3,122,330,528,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,774,561,259 : 1,499,124,439,802.20 = 1,499,124,439,802.20 : x
  2. Step 2: Convert to fraction form
    719,774,561,259/1,499,124,439,802.20 = 1,499,124,439,802.20/x
  3. Step 3: Cross multiply
    719,774,561,259x = 1,499,124,439,802.20 × 1,499,124,439,802.20
  4. Step 4: Simplify right side
    719,774,561,259x = 2,247,374,086,012,259,897,704,448
  5. Step 5: Solve for x
    x = 2,247,374,086,012,259,897,704,448/719,774,561,259
  6. Step 6: Final answer
    x = 3,122,330,528,160.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.