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Finding the Third Proportional to 1,261,866,210.19 and 2,920,991,797.13

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Solution

The third proportional to 1,261,866,210.19 and 2,920,991,797.13 is: 6,761,567,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,866,210.19 : 2,920,991,797.13 = 2,920,991,797.13 : x
  2. Step 2: Convert to fraction form
    1,261,866,210.19/2,920,991,797.13 = 2,920,991,797.13/x
  3. Step 3: Cross multiply
    1,261,866,210.19x = 2,920,991,797.13 × 2,920,991,797.13
  4. Step 4: Simplify right side
    1,261,866,210.19x = 8,532,193,078,871,537,664
  5. Step 5: Solve for x
    x = 8,532,193,078,871,537,664/1,261,866,210.19
  6. Step 6: Final answer
    x = 6,761,567,121.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.