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Finding the Third Proportional to 750,370,960 and 1,653,402,512

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Solution

The third proportional to 750,370,960 and 1,653,402,512 is: 3,643,184,521.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,370,960 : 1,653,402,512 = 1,653,402,512 : x
  2. Step 2: Convert to fraction form
    750,370,960/1,653,402,512 = 1,653,402,512/x
  3. Step 3: Cross multiply
    750,370,960x = 1,653,402,512 × 1,653,402,512
  4. Step 4: Simplify right side
    750,370,960x = 2,733,739,866,687,909,888
  5. Step 5: Solve for x
    x = 2,733,739,866,687,909,888/750,370,960
  6. Step 6: Final answer
    x = 3,643,184,521.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.