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Finding the Third Proportional to 34,032,038 and 74,676,483

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Solution

The third proportional to 34,032,038 and 74,676,483 is: 163,862,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,032,038 : 74,676,483 = 74,676,483 : x
  2. Step 2: Convert to fraction form
    34,032,038/74,676,483 = 74,676,483/x
  3. Step 3: Cross multiply
    34,032,038x = 74,676,483 × 74,676,483
  4. Step 4: Simplify right side
    34,032,038x = 5,576,577,113,249,289
  5. Step 5: Solve for x
    x = 5,576,577,113,249,289/34,032,038
  6. Step 6: Final answer
    x = 163,862,567.19

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Why These Related Problems?

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