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Finding the Third Proportional to 1,547,773,748,907.10 and 3,367,290,370,028.80

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Solution

The third proportional to 1,547,773,748,907.10 and 3,367,290,370,028.80 is: 7,325,776,421,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547,773,748,907.10 : 3,367,290,370,028.80 = 3,367,290,370,028.80 : x
  2. Step 2: Convert to fraction form
    1,547,773,748,907.10/3,367,290,370,028.80 = 3,367,290,370,028.80/x
  3. Step 3: Cross multiply
    1,547,773,748,907.10x = 3,367,290,370,028.80 × 3,367,290,370,028.80
  4. Step 4: Simplify right side
    1,547,773,748,907.10x = 11,338,644,436,088,690,741,084,160
  5. Step 5: Solve for x
    x = 11,338,644,436,088,690,741,084,160/1,547,773,748,907.10
  6. Step 6: Final answer
    x = 7,325,776,421,841.39

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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.