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Finding the Third Proportional to 357,035,727 and 551,710,733

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Solution

The third proportional to 357,035,727 and 551,710,733 is: 852,532,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,035,727 : 551,710,733 = 551,710,733 : x
  2. Step 2: Convert to fraction form
    357,035,727/551,710,733 = 551,710,733/x
  3. Step 3: Cross multiply
    357,035,727x = 551,710,733 × 551,710,733
  4. Step 4: Simplify right side
    357,035,727x = 304,384,732,907,397,312
  5. Step 5: Solve for x
    x = 304,384,732,907,397,312/357,035,727
  6. Step 6: Final answer
    x = 852,532,981.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.