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Finding the Third Proportional to 1,547,773,748,911.20 and 3,367,290,370,038.20

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Solution

The third proportional to 1,547,773,748,911.20 and 3,367,290,370,038.20 is: 7,325,776,421,862.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547,773,748,911.20 : 3,367,290,370,038.20 = 3,367,290,370,038.20 : x
  2. Step 2: Convert to fraction form
    1,547,773,748,911.20/3,367,290,370,038.20 = 3,367,290,370,038.20/x
  3. Step 3: Cross multiply
    1,547,773,748,911.20x = 3,367,290,370,038.20 × 3,367,290,370,038.20
  4. Step 4: Simplify right side
    1,547,773,748,911.20x = 11,338,644,436,151,998,559,027,200
  5. Step 5: Solve for x
    x = 11,338,644,436,151,998,559,027,200/1,547,773,748,911.20
  6. Step 6: Final answer
    x = 7,325,776,421,862.89

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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.