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Finding the Third Proportional to 249,866,976,934 and 380,655,055,654

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Solution

The third proportional to 249,866,976,934 and 380,655,055,654 is: 579,901,646,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,866,976,934 : 380,655,055,654 = 380,655,055,654 : x
  2. Step 2: Convert to fraction form
    249,866,976,934/380,655,055,654 = 380,655,055,654/x
  3. Step 3: Cross multiply
    249,866,976,934x = 380,655,055,654 × 380,655,055,654
  4. Step 4: Simplify right side
    249,866,976,934x = 144,898,271,394,949,842,862,080
  5. Step 5: Solve for x
    x = 144,898,271,394,949,842,862,080/249,866,976,934
  6. Step 6: Final answer
    x = 579,901,646,759.92

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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.