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Finding the Third Proportional to 249,589,902 and 556,537,470

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Solution

The third proportional to 249,589,902 and 556,537,470 is: 1,240,971,501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,589,902 : 556,537,470 = 556,537,470 : x
  2. Step 2: Convert to fraction form
    249,589,902/556,537,470 = 556,537,470/x
  3. Step 3: Cross multiply
    249,589,902x = 556,537,470 × 556,537,470
  4. Step 4: Simplify right side
    249,589,902x = 309,733,955,514,000,896
  5. Step 5: Solve for x
    x = 309,733,955,514,000,896/249,589,902
  6. Step 6: Final answer
    x = 1,240,971,501.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.