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Finding the Third Proportional to 235,429,869 and 549,895,461

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Solution

The third proportional to 235,429,869 and 549,895,461 is: 1,284,395,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,429,869 : 549,895,461 = 549,895,461 : x
  2. Step 2: Convert to fraction form
    235,429,869/549,895,461 = 549,895,461/x
  3. Step 3: Cross multiply
    235,429,869x = 549,895,461 × 549,895,461
  4. Step 4: Simplify right side
    235,429,869x = 302,385,018,028,402,496
  5. Step 5: Solve for x
    x = 302,385,018,028,402,496/235,429,869
  6. Step 6: Final answer
    x = 1,284,395,303.42

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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.