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Finding the Third Proportional to 21,249,639,262 and 31,757,340,666

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Solution

The third proportional to 21,249,639,262 and 31,757,340,666 is: 47,460,979,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,249,639,262 : 31,757,340,666 = 31,757,340,666 : x
  2. Step 2: Convert to fraction form
    21,249,639,262/31,757,340,666 = 31,757,340,666/x
  3. Step 3: Cross multiply
    21,249,639,262x = 31,757,340,666 × 31,757,340,666
  4. Step 4: Simplify right side
    21,249,639,262x = 1,008,528,686,176,377,372,672
  5. Step 5: Solve for x
    x = 1,008,528,686,176,377,372,672/21,249,639,262
  6. Step 6: Final answer
    x = 47,460,979,160.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.