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Finding the Third Proportional to 709,424,931 and 1,657,536,820.50

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Solution

The third proportional to 709,424,931 and 1,657,536,820.50 is: 3,872,754,101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,424,931 : 1,657,536,820.50 = 1,657,536,820.50 : x
  2. Step 2: Convert to fraction form
    709,424,931/1,657,536,820.50 = 1,657,536,820.50/x
  3. Step 3: Cross multiply
    709,424,931x = 1,657,536,820.50 × 1,657,536,820.50
  4. Step 4: Simplify right side
    709,424,931x = 2,747,428,311,313,249,280
  5. Step 5: Solve for x
    x = 2,747,428,311,313,249,280/709,424,931
  6. Step 6: Final answer
    x = 3,872,754,101.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.