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Finding the Third Proportional to 3,095,547,497,809.80 and 6,734,580,740,046.20

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Solution

The third proportional to 3,095,547,497,809.80 and 6,734,580,740,046.20 is: 14,651,552,843,654.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095,547,497,809.80 : 6,734,580,740,046.20 = 6,734,580,740,046.20 : x
  2. Step 2: Convert to fraction form
    3,095,547,497,809.80/6,734,580,740,046.20 = 6,734,580,740,046.20/x
  3. Step 3: Cross multiply
    3,095,547,497,809.80x = 6,734,580,740,046.20 × 6,734,580,740,046.20
  4. Step 4: Simplify right side
    3,095,547,497,809.80x = 45,354,577,744,201,226,473,439,232
  5. Step 5: Solve for x
    x = 45,354,577,744,201,226,473,439,232/3,095,547,497,809.80
  6. Step 6: Final answer
    x = 14,651,552,843,654.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.