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Finding the Third Proportional to 5,658,090 and 11,577,646.50

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Solution

The third proportional to 5,658,090 and 11,577,646.50 is: 23,690,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658,090 : 11,577,646.50 = 11,577,646.50 : x
  2. Step 2: Convert to fraction form
    5,658,090/11,577,646.50 = 11,577,646.50/x
  3. Step 3: Cross multiply
    5,658,090x = 11,577,646.50 × 11,577,646.50
  4. Step 4: Simplify right side
    5,658,090x = 134,041,898,478,962.25
  5. Step 5: Solve for x
    x = 134,041,898,478,962.25/5,658,090
  6. Step 6: Final answer
    x = 23,690,308.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.