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Finding the Third Proportional to 817,257,385,998 and 1,909,482,087,717

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Solution

The third proportional to 817,257,385,998 and 1,909,482,087,717 is: 4,461,411,919,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,257,385,998 : 1,909,482,087,717 = 1,909,482,087,717 : x
  2. Step 2: Convert to fraction form
    817,257,385,998/1,909,482,087,717 = 1,909,482,087,717/x
  3. Step 3: Cross multiply
    817,257,385,998x = 1,909,482,087,717 × 1,909,482,087,717
  4. Step 4: Simplify right side
    817,257,385,998x = 3,646,121,843,312,072,815,804,416
  5. Step 5: Solve for x
    x = 3,646,121,843,312,072,815,804,416/817,257,385,998
  6. Step 6: Final answer
    x = 4,461,411,919,648.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.