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Finding the Third Proportional to 1,029,113,971,705 and 1,556,906,773,321

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Solution

The third proportional to 1,029,113,971,705 and 1,556,906,773,321 is: 2,355,384,114,353.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,113,971,705 : 1,556,906,773,321 = 1,556,906,773,321 : x
  2. Step 2: Convert to fraction form
    1,029,113,971,705/1,556,906,773,321 = 1,556,906,773,321/x
  3. Step 3: Cross multiply
    1,029,113,971,705x = 1,556,906,773,321 × 1,556,906,773,321
  4. Step 4: Simplify right side
    1,029,113,971,705x = 2,423,958,700,812,807,740,325,888
  5. Step 5: Solve for x
    x = 2,423,958,700,812,807,740,325,888/1,029,113,971,705
  6. Step 6: Final answer
    x = 2,355,384,114,353.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.