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Finding the Third Proportional to 797,731,855 and 1,225,413,802.50

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Solution

The third proportional to 797,731,855 and 1,225,413,802.50 is: 1,882,385,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,731,855 : 1,225,413,802.50 = 1,225,413,802.50 : x
  2. Step 2: Convert to fraction form
    797,731,855/1,225,413,802.50 = 1,225,413,802.50/x
  3. Step 3: Cross multiply
    797,731,855x = 1,225,413,802.50 × 1,225,413,802.50
  4. Step 4: Simplify right side
    797,731,855x = 1,501,638,987,357,509,120
  5. Step 5: Solve for x
    x = 1,501,638,987,357,509,120/797,731,855
  6. Step 6: Final answer
    x = 1,882,385,638.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.