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Finding the Third Proportional to 305,668,804.50 and 671,387,053.50

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Solution

The third proportional to 305,668,804.50 and 671,387,053.50 is: 1,474,669,868.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,668,804.50 : 671,387,053.50 = 671,387,053.50 : x
  2. Step 2: Convert to fraction form
    305,668,804.50/671,387,053.50 = 671,387,053.50/x
  3. Step 3: Cross multiply
    305,668,804.50x = 671,387,053.50 × 671,387,053.50
  4. Step 4: Simplify right side
    305,668,804.50x = 450,760,575,607,411,840
  5. Step 5: Solve for x
    x = 450,760,575,607,411,840/305,668,804.50
  6. Step 6: Final answer
    x = 1,474,669,868.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.