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Finding the Third Proportional to 425,170,721.25 and 660,141,221.63

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Solution

The third proportional to 425,170,721.25 and 660,141,221.63 is: 1,024,968,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,170,721.25 : 660,141,221.63 = 660,141,221.63 : x
  2. Step 2: Convert to fraction form
    425,170,721.25/660,141,221.63 = 660,141,221.63/x
  3. Step 3: Cross multiply
    425,170,721.25x = 660,141,221.63 × 660,141,221.63
  4. Step 4: Simplify right side
    425,170,721.25x = 435,786,432,488,547,392
  5. Step 5: Solve for x
    x = 435,786,432,488,547,392/425,170,721.25
  6. Step 6: Final answer
    x = 1,024,968,114.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.