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Finding the Third Proportional to 249,866,976,964 and 380,655,055,698

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Solution

The third proportional to 249,866,976,964 and 380,655,055,698 is: 579,901,646,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,866,976,964 : 380,655,055,698 = 380,655,055,698 : x
  2. Step 2: Convert to fraction form
    249,866,976,964/380,655,055,698 = 380,655,055,698/x
  3. Step 3: Cross multiply
    249,866,976,964x = 380,655,055,698 × 380,655,055,698
  4. Step 4: Simplify right side
    249,866,976,964x = 144,898,271,428,447,483,985,920
  5. Step 5: Solve for x
    x = 144,898,271,428,447,483,985,920/249,866,976,964
  6. Step 6: Final answer
    x = 579,901,646,824.36

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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.