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Finding the Third Proportional to 849,790,403 and 1,828,720,951

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Solution

The third proportional to 849,790,403 and 1,828,720,951 is: 3,935,347,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,790,403 : 1,828,720,951 = 1,828,720,951 : x
  2. Step 2: Convert to fraction form
    849,790,403/1,828,720,951 = 1,828,720,951/x
  3. Step 3: Cross multiply
    849,790,403x = 1,828,720,951 × 1,828,720,951
  4. Step 4: Simplify right side
    849,790,403x = 3,344,220,316,626,344,448
  5. Step 5: Solve for x
    x = 3,344,220,316,626,344,448/849,790,403
  6. Step 6: Final answer
    x = 3,935,347,239.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.