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Finding the Third Proportional to 29,706,567.75 and 45,442,511.16

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Solution

The third proportional to 29,706,567.75 and 45,442,511.16 is: 69,513,982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706,567.75 : 45,442,511.16 = 45,442,511.16 : x
  2. Step 2: Convert to fraction form
    29,706,567.75/45,442,511.16 = 45,442,511.16/x
  3. Step 3: Cross multiply
    29,706,567.75x = 45,442,511.16 × 45,442,511.16
  4. Step 4: Simplify right side
    29,706,567.75x = 2,065,021,820,185,905.75
  5. Step 5: Solve for x
    x = 2,065,021,820,185,905.75/29,706,567.75
  6. Step 6: Final answer
    x = 69,513,982.15

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.