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Finding the Third Proportional to 259,900,048,332 and 555,567,637,056.75

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Solution

The third proportional to 259,900,048,332 and 555,567,637,056.75 is: 1,187,592,696,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,900,048,332 : 555,567,637,056.75 = 555,567,637,056.75 : x
  2. Step 2: Convert to fraction form
    259,900,048,332/555,567,637,056.75 = 555,567,637,056.75/x
  3. Step 3: Cross multiply
    259,900,048,332x = 555,567,637,056.75 × 555,567,637,056.75
  4. Step 4: Simplify right side
    259,900,048,332x = 308,655,399,344,820,665,188,352
  5. Step 5: Solve for x
    x = 308,655,399,344,820,665,188,352/259,900,048,332
  6. Step 6: Final answer
    x = 1,187,592,696,983.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.