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Finding the Third Proportional to 671,533,200 and 1,445,103,058.50

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Solution

The third proportional to 671,533,200 and 1,445,103,058.50 is: 3,109,783,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,533,200 : 1,445,103,058.50 = 1,445,103,058.50 : x
  2. Step 2: Convert to fraction form
    671,533,200/1,445,103,058.50 = 1,445,103,058.50/x
  3. Step 3: Cross multiply
    671,533,200x = 1,445,103,058.50 × 1,445,103,058.50
  4. Step 4: Simplify right side
    671,533,200x = 2,088,322,849,686,054,400
  5. Step 5: Solve for x
    x = 2,088,322,849,686,054,400/671,533,200
  6. Step 6: Final answer
    x = 3,109,783,477.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.