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Finding the Third Proportional to 358,995,541 and 786,092,348

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Solution

The third proportional to 358,995,541 and 786,092,348 is: 1,721,306,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,995,541 : 786,092,348 = 786,092,348 : x
  2. Step 2: Convert to fraction form
    358,995,541/786,092,348 = 786,092,348/x
  3. Step 3: Cross multiply
    358,995,541x = 786,092,348 × 786,092,348
  4. Step 4: Simplify right side
    358,995,541x = 617,941,179,584,153,088
  5. Step 5: Solve for x
    x = 617,941,179,584,153,088/358,995,541
  6. Step 6: Final answer
    x = 1,721,306,002.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.