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Finding the Third Proportional to 624,346,373,547 and 993,457,816,909

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Solution

The third proportional to 624,346,373,547 and 993,457,816,909 is: 1,580,786,684,754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,346,373,547 : 993,457,816,909 = 993,457,816,909 : x
  2. Step 2: Convert to fraction form
    624,346,373,547/993,457,816,909 = 993,457,816,909/x
  3. Step 3: Cross multiply
    624,346,373,547x = 993,457,816,909 × 993,457,816,909
  4. Step 4: Simplify right side
    624,346,373,547x = 986,958,433,977,596,158,935,040
  5. Step 5: Solve for x
    x = 986,958,433,977,596,158,935,040/624,346,373,547
  6. Step 6: Final answer
    x = 1,580,786,684,754.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.