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Finding the Third Proportional to 349,436,886 and 556,292,203.50

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Solution

The third proportional to 349,436,886 and 556,292,203.50 is: 885,599,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,436,886 : 556,292,203.50 = 556,292,203.50 : x
  2. Step 2: Convert to fraction form
    349,436,886/556,292,203.50 = 556,292,203.50/x
  3. Step 3: Cross multiply
    349,436,886x = 556,292,203.50 × 556,292,203.50
  4. Step 4: Simplify right side
    349,436,886x = 309,461,015,674,885,440
  5. Step 5: Solve for x
    x = 309,461,015,674,885,440/349,436,886
  6. Step 6: Final answer
    x = 885,599,168.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.