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Finding the Third Proportional to 714,588,200 and 1,547,890,748.50

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Solution

The third proportional to 714,588,200 and 1,547,890,748.50 is: 3,352,932,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,588,200 : 1,547,890,748.50 = 1,547,890,748.50 : x
  2. Step 2: Convert to fraction form
    714,588,200/1,547,890,748.50 = 1,547,890,748.50/x
  3. Step 3: Cross multiply
    714,588,200x = 1,547,890,748.50 × 1,547,890,748.50
  4. Step 4: Simplify right side
    714,588,200x = 2,395,965,769,291,890,176
  5. Step 5: Solve for x
    x = 2,395,965,769,291,890,176/714,588,200
  6. Step 6: Final answer
    x = 3,352,932,177.29

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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.