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Finding the Third Proportional to 288,249,118,834 and 619,878,738,901

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Solution

The third proportional to 288,249,118,834 and 619,878,738,901 is: 1,333,047,096,538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,249,118,834 : 619,878,738,901 = 619,878,738,901 : x
  2. Step 2: Convert to fraction form
    288,249,118,834/619,878,738,901 = 619,878,738,901/x
  3. Step 3: Cross multiply
    288,249,118,834x = 619,878,738,901 × 619,878,738,901
  4. Step 4: Simplify right side
    288,249,118,834x = 384,249,650,941,494,139,289,600
  5. Step 5: Solve for x
    x = 384,249,650,941,494,139,289,600/288,249,118,834
  6. Step 6: Final answer
    x = 1,333,047,096,538.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.