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Finding the Third Proportional to 365,024,423,505 and 536,602,095,518

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Solution

The third proportional to 365,024,423,505 and 536,602,095,518 is: 788,828,884,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,024,423,505 : 536,602,095,518 = 536,602,095,518 : x
  2. Step 2: Convert to fraction form
    365,024,423,505/536,602,095,518 = 536,602,095,518/x
  3. Step 3: Cross multiply
    365,024,423,505x = 536,602,095,518 × 536,602,095,518
  4. Step 4: Simplify right side
    365,024,423,505x = 287,941,808,914,308,804,902,912
  5. Step 5: Solve for x
    x = 287,941,808,914,308,804,902,912/365,024,423,505
  6. Step 6: Final answer
    x = 788,828,884,789.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.