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Finding the Third Proportional to 1,570,393,426 and 3,303,242,276

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Solution

The third proportional to 1,570,393,426 and 3,303,242,276 is: 6,948,201,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,393,426 : 3,303,242,276 = 3,303,242,276 : x
  2. Step 2: Convert to fraction form
    1,570,393,426/3,303,242,276 = 3,303,242,276/x
  3. Step 3: Cross multiply
    1,570,393,426x = 3,303,242,276 × 3,303,242,276
  4. Step 4: Simplify right side
    1,570,393,426x = 10,911,409,533,953,660,928
  5. Step 5: Solve for x
    x = 10,911,409,533,953,660,928/1,570,393,426
  6. Step 6: Final answer
    x = 6,948,201,229.90

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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.