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Finding the Third Proportional to 655,696,646.50 and 1,070,580,264.50

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Solution

The third proportional to 655,696,646.50 and 1,070,580,264.50 is: 1,747,976,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,696,646.50 : 1,070,580,264.50 = 1,070,580,264.50 : x
  2. Step 2: Convert to fraction form
    655,696,646.50/1,070,580,264.50 = 1,070,580,264.50/x
  3. Step 3: Cross multiply
    655,696,646.50x = 1,070,580,264.50 × 1,070,580,264.50
  4. Step 4: Simplify right side
    655,696,646.50x = 1,146,142,102,736,889,984
  5. Step 5: Solve for x
    x = 1,146,142,102,736,889,984/655,696,646.50
  6. Step 6: Final answer
    x = 1,747,976,154.61

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.