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Finding the Third Proportional to 365,390,913 and 750,152,307.75

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Solution

The third proportional to 365,390,913 and 750,152,307.75 is: 1,540,072,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,390,913 : 750,152,307.75 = 750,152,307.75 : x
  2. Step 2: Convert to fraction form
    365,390,913/750,152,307.75 = 750,152,307.75/x
  3. Step 3: Cross multiply
    365,390,913x = 750,152,307.75 × 750,152,307.75
  4. Step 4: Simplify right side
    365,390,913x = 562,728,484,822,650,688
  5. Step 5: Solve for x
    x = 562,728,484,822,650,688/365,390,913
  6. Step 6: Final answer
    x = 1,540,072,467.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.