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Finding the Third Proportional to 1,658,752,143 and 3,563,671,188

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Solution

The third proportional to 1,658,752,143 and 3,563,671,188 is: 7,656,208,547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658,752,143 : 3,563,671,188 = 3,563,671,188 : x
  2. Step 2: Convert to fraction form
    1,658,752,143/3,563,671,188 = 3,563,671,188/x
  3. Step 3: Cross multiply
    1,658,752,143x = 3,563,671,188 × 3,563,671,188
  4. Step 4: Simplify right side
    1,658,752,143x = 12,699,752,336,181,331,968
  5. Step 5: Solve for x
    x = 12,699,752,336,181,331,968/1,658,752,143
  6. Step 6: Final answer
    x = 7,656,208,547.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.