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Finding the Third Proportional to 750,069,284.63 and 1,615,342,621.50

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Solution

The third proportional to 750,069,284.63 and 1,615,342,621.50 is: 3,478,787,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,069,284.63 : 1,615,342,621.50 = 1,615,342,621.50 : x
  2. Step 2: Convert to fraction form
    750,069,284.63/1,615,342,621.50 = 1,615,342,621.50/x
  3. Step 3: Cross multiply
    750,069,284.63x = 1,615,342,621.50 × 1,615,342,621.50
  4. Step 4: Simplify right side
    750,069,284.63x = 2,609,331,784,834,492,416
  5. Step 5: Solve for x
    x = 2,609,331,784,834,492,416/750,069,284.63
  6. Step 6: Final answer
    x = 3,478,787,677.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.