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Finding the Third Proportional to 303,152,141 and 657,758,746

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Solution

The third proportional to 303,152,141 and 657,758,746 is: 1,427,159,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,152,141 : 657,758,746 = 657,758,746 : x
  2. Step 2: Convert to fraction form
    303,152,141/657,758,746 = 657,758,746/x
  3. Step 3: Cross multiply
    303,152,141x = 657,758,746 × 657,758,746
  4. Step 4: Simplify right side
    303,152,141x = 432,646,567,939,492,544
  5. Step 5: Solve for x
    x = 432,646,567,939,492,544/303,152,141
  6. Step 6: Final answer
    x = 1,427,159,862.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.