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Finding the Third Proportional to 372,550,829 and 783,709,174

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Solution

The third proportional to 372,550,829 and 783,709,174 is: 1,648,634,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,550,829 : 783,709,174 = 783,709,174 : x
  2. Step 2: Convert to fraction form
    372,550,829/783,709,174 = 783,709,174/x
  3. Step 3: Cross multiply
    372,550,829x = 783,709,174 × 783,709,174
  4. Step 4: Simplify right side
    372,550,829x = 614,200,069,411,762,304
  5. Step 5: Solve for x
    x = 614,200,069,411,762,304/372,550,829
  6. Step 6: Final answer
    x = 1,648,634,284.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.