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Finding the Third Proportional to 249,866,976,960 and 380,655,055,692

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Solution

The third proportional to 249,866,976,960 and 380,655,055,692 is: 579,901,646,815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,866,976,960 : 380,655,055,692 = 380,655,055,692 : x
  2. Step 2: Convert to fraction form
    249,866,976,960/380,655,055,692 = 380,655,055,692/x
  3. Step 3: Cross multiply
    249,866,976,960x = 380,655,055,692 × 380,655,055,692
  4. Step 4: Simplify right side
    249,866,976,960x = 144,898,271,423,879,618,494,464
  5. Step 5: Solve for x
    x = 144,898,271,423,879,618,494,464/249,866,976,960
  6. Step 6: Final answer
    x = 579,901,646,815.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.