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Finding the Third Proportional to 525,700,783.50 and 1,121,765,013.75

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Solution

The third proportional to 525,700,783.50 and 1,121,765,013.75 is: 2,393,674,853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,700,783.50 : 1,121,765,013.75 = 1,121,765,013.75 : x
  2. Step 2: Convert to fraction form
    525,700,783.50/1,121,765,013.75 = 1,121,765,013.75/x
  3. Step 3: Cross multiply
    525,700,783.50x = 1,121,765,013.75 × 1,121,765,013.75
  4. Step 4: Simplify right side
    525,700,783.50x = 1,258,356,746,073,537,792
  5. Step 5: Solve for x
    x = 1,258,356,746,073,537,792/525,700,783.50
  6. Step 6: Final answer
    x = 2,393,674,853.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.