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Finding the Third Proportional to 29,820,196 and 65,223,560

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Solution

The third proportional to 29,820,196 and 65,223,560 is: 142,658,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820,196 : 65,223,560 = 65,223,560 : x
  2. Step 2: Convert to fraction form
    29,820,196/65,223,560 = 65,223,560/x
  3. Step 3: Cross multiply
    29,820,196x = 65,223,560 × 65,223,560
  4. Step 4: Simplify right side
    29,820,196x = 4,254,112,779,073,600
  5. Step 5: Solve for x
    x = 4,254,112,779,073,600/29,820,196
  6. Step 6: Final answer
    x = 142,658,779.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.