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Finding the Third Proportional to 347,817,126 and 750,111,210

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Solution

The third proportional to 347,817,126 and 750,111,210 is: 1,617,708,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,817,126 : 750,111,210 = 750,111,210 : x
  2. Step 2: Convert to fraction form
    347,817,126/750,111,210 = 750,111,210/x
  3. Step 3: Cross multiply
    347,817,126x = 750,111,210 × 750,111,210
  4. Step 4: Simplify right side
    347,817,126x = 562,666,827,367,664,128
  5. Step 5: Solve for x
    x = 562,666,827,367,664,128/347,817,126
  6. Step 6: Final answer
    x = 1,617,708,805.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.