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Finding the Third Proportional to 298,411,924 and 642,173,496

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Solution

The third proportional to 298,411,924 and 642,173,496 is: 1,381,938,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,411,924 : 642,173,496 = 642,173,496 : x
  2. Step 2: Convert to fraction form
    298,411,924/642,173,496 = 642,173,496/x
  3. Step 3: Cross multiply
    298,411,924x = 642,173,496 × 642,173,496
  4. Step 4: Simplify right side
    298,411,924x = 412,386,798,964,862,016
  5. Step 5: Solve for x
    x = 412,386,798,964,862,016/298,411,924
  6. Step 6: Final answer
    x = 1,381,938,072.17

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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.