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Finding the Third Proportional to 387,617,973 and 595,795,666.50

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Solution

The third proportional to 387,617,973 and 595,795,666.50 is: 915,779,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,617,973 : 595,795,666.50 = 595,795,666.50 : x
  2. Step 2: Convert to fraction form
    387,617,973/595,795,666.50 = 595,795,666.50/x
  3. Step 3: Cross multiply
    387,617,973x = 595,795,666.50 × 595,795,666.50
  4. Step 4: Simplify right side
    387,617,973x = 354,972,476,220,179,200
  5. Step 5: Solve for x
    x = 354,972,476,220,179,200/387,617,973
  6. Step 6: Final answer
    x = 915,779,197.42

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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.