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Finding the Third Proportional to 349,095,030 and 759,480,690

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Solution

The third proportional to 349,095,030 and 759,480,690 is: 1,652,303,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,095,030 : 759,480,690 = 759,480,690 : x
  2. Step 2: Convert to fraction form
    349,095,030/759,480,690 = 759,480,690/x
  3. Step 3: Cross multiply
    349,095,030x = 759,480,690 × 759,480,690
  4. Step 4: Simplify right side
    349,095,030x = 576,810,918,482,876,160
  5. Step 5: Solve for x
    x = 576,810,918,482,876,160/349,095,030
  6. Step 6: Final answer
    x = 1,652,303,438.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.