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Finding the Third Proportional to 8,547,482,044.50 and 18,566,365,006

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Solution

The third proportional to 8,547,482,044.50 and 18,566,365,006 is: 40,328,825,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547,482,044.50 : 18,566,365,006 = 18,566,365,006 : x
  2. Step 2: Convert to fraction form
    8,547,482,044.50/18,566,365,006 = 18,566,365,006/x
  3. Step 3: Cross multiply
    8,547,482,044.50x = 18,566,365,006 × 18,566,365,006
  4. Step 4: Simplify right side
    8,547,482,044.50x = 344,709,909,536,021,348,352
  5. Step 5: Solve for x
    x = 344,709,909,536,021,348,352/8,547,482,044.50
  6. Step 6: Final answer
    x = 40,328,825,230.80

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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.