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Finding the Third Proportional to 249,866,976,962 and 380,655,055,695

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Solution

The third proportional to 249,866,976,962 and 380,655,055,695 is: 579,901,646,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,866,976,962 : 380,655,055,695 = 380,655,055,695 : x
  2. Step 2: Convert to fraction form
    249,866,976,962/380,655,055,695 = 380,655,055,695/x
  3. Step 3: Cross multiply
    249,866,976,962x = 380,655,055,695 × 380,655,055,695
  4. Step 4: Simplify right side
    249,866,976,962x = 144,898,271,426,163,551,240,192
  5. Step 5: Solve for x
    x = 144,898,271,426,163,551,240,192/249,866,976,962
  6. Step 6: Final answer
    x = 579,901,646,819.86

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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.