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Finding the Third Proportional to 526,994,712.94 and 818,637,039.69

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Solution

The third proportional to 526,994,712.94 and 818,637,039.69 is: 1,271,676,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,994,712.94 : 818,637,039.69 = 818,637,039.69 : x
  2. Step 2: Convert to fraction form
    526,994,712.94/818,637,039.69 = 818,637,039.69/x
  3. Step 3: Cross multiply
    526,994,712.94x = 818,637,039.69 × 818,637,039.69
  4. Step 4: Simplify right side
    526,994,712.94x = 670,166,602,748,313,472
  5. Step 5: Solve for x
    x = 670,166,602,748,313,472/526,994,712.94
  6. Step 6: Final answer
    x = 1,271,676,140.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.