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Finding the Third Proportional to 29,489,888 and 64,648,507

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Solution

The third proportional to 29,489,888 and 64,648,507 is: 141,724,154.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,489,888 : 64,648,507 = 64,648,507 : x
  2. Step 2: Convert to fraction form
    29,489,888/64,648,507 = 64,648,507/x
  3. Step 3: Cross multiply
    29,489,888x = 64,648,507 × 64,648,507
  4. Step 4: Simplify right side
    29,489,888x = 4,179,429,457,329,049
  5. Step 5: Solve for x
    x = 4,179,429,457,329,049/29,489,888
  6. Step 6: Final answer
    x = 141,724,154.98

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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.