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Finding the Third Proportional to 29,757,722,870 and 64,249,252,744

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Solution

The third proportional to 29,757,722,870 and 64,249,252,744 is: 138,719,165,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,757,722,870 : 64,249,252,744 = 64,249,252,744 : x
  2. Step 2: Convert to fraction form
    29,757,722,870/64,249,252,744 = 64,249,252,744/x
  3. Step 3: Cross multiply
    29,757,722,870x = 64,249,252,744 × 64,249,252,744
  4. Step 4: Simplify right side
    29,757,722,870x = 4,127,966,478,162,391,465,984
  5. Step 5: Solve for x
    x = 4,127,966,478,162,391,465,984/29,757,722,870
  6. Step 6: Final answer
    x = 138,719,165,313.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.