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Finding the Third Proportional to 390,700,511,308.50 and 846,308,303,431.50

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Solution

The third proportional to 390,700,511,308.50 and 846,308,303,431.50 is: 1,833,214,249,089.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,700,511,308.50 : 846,308,303,431.50 = 846,308,303,431.50 : x
  2. Step 2: Convert to fraction form
    390,700,511,308.50/846,308,303,431.50 = 846,308,303,431.50/x
  3. Step 3: Cross multiply
    390,700,511,308.50x = 846,308,303,431.50 × 846,308,303,431.50
  4. Step 4: Simplify right side
    390,700,511,308.50x = 716,237,744,457,103,840,378,880
  5. Step 5: Solve for x
    x = 716,237,744,457,103,840,378,880/390,700,511,308.50
  6. Step 6: Final answer
    x = 1,833,214,249,089.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.