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Finding the Third Proportional to 29,757,722,868 and 64,249,252,740

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Solution

The third proportional to 29,757,722,868 and 64,249,252,740 is: 138,719,165,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,757,722,868 : 64,249,252,740 = 64,249,252,740 : x
  2. Step 2: Convert to fraction form
    29,757,722,868/64,249,252,740 = 64,249,252,740/x
  3. Step 3: Cross multiply
    29,757,722,868x = 64,249,252,740 × 64,249,252,740
  4. Step 4: Simplify right side
    29,757,722,868x = 4,127,966,477,648,397,336,576
  5. Step 5: Solve for x
    x = 4,127,966,477,648,397,336,576/29,757,722,868
  6. Step 6: Final answer
    x = 138,719,165,305.74

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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.