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Finding the Third Proportional to 1,070,197,688 and 1,637,282,637

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Solution

The third proportional to 1,070,197,688 and 1,637,282,637 is: 2,504,859,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,197,688 : 1,637,282,637 = 1,637,282,637 : x
  2. Step 2: Convert to fraction form
    1,070,197,688/1,637,282,637 = 1,637,282,637/x
  3. Step 3: Cross multiply
    1,070,197,688x = 1,637,282,637 × 1,637,282,637
  4. Step 4: Simplify right side
    1,070,197,688x = 2,680,694,433,421,673,984
  5. Step 5: Solve for x
    x = 2,680,694,433,421,673,984/1,070,197,688
  6. Step 6: Final answer
    x = 2,504,859,114.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.