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Finding the Third Proportional to 767,709,904 and 1,657,750,869

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Solution

The third proportional to 767,709,904 and 1,657,750,869 is: 3,579,656,754.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,709,904 : 1,657,750,869 = 1,657,750,869 : x
  2. Step 2: Convert to fraction form
    767,709,904/1,657,750,869 = 1,657,750,869/x
  3. Step 3: Cross multiply
    767,709,904x = 1,657,750,869 × 1,657,750,869
  4. Step 4: Simplify right side
    767,709,904x = 2,748,137,943,670,255,104
  5. Step 5: Solve for x
    x = 2,748,137,943,670,255,104/767,709,904
  6. Step 6: Final answer
    x = 3,579,656,754.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.