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Finding the Third Proportional to 233,314,827.47 and 499,908,790.34

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Solution

The third proportional to 233,314,827.47 and 499,908,790.34 is: 1,071,122,660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,314,827.47 : 499,908,790.34 = 499,908,790.34 : x
  2. Step 2: Convert to fraction form
    233,314,827.47/499,908,790.34 = 499,908,790.34/x
  3. Step 3: Cross multiply
    233,314,827.47x = 499,908,790.34 × 499,908,790.34
  4. Step 4: Simplify right side
    233,314,827.47x = 249,908,798,655,132,800
  5. Step 5: Solve for x
    x = 249,908,798,655,132,800/233,314,827.47
  6. Step 6: Final answer
    x = 1,071,122,660.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.