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Finding the Third Proportional to 30,294,738 and 64,929,577.50

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Solution

The third proportional to 30,294,738 and 64,929,577.50 is: 139,161,132.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294,738 : 64,929,577.50 = 64,929,577.50 : x
  2. Step 2: Convert to fraction form
    30,294,738/64,929,577.50 = 64,929,577.50/x
  3. Step 3: Cross multiply
    30,294,738x = 64,929,577.50 × 64,929,577.50
  4. Step 4: Simplify right side
    30,294,738x = 4,215,850,034,328,506
  5. Step 5: Solve for x
    x = 4,215,850,034,328,506/30,294,738
  6. Step 6: Final answer
    x = 139,161,132.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.