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Finding the Third Proportional to 763,492,646.25 and 1,167,426,085.50

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Solution

The third proportional to 763,492,646.25 and 1,167,426,085.50 is: 1,785,064,560.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,492,646.25 : 1,167,426,085.50 = 1,167,426,085.50 : x
  2. Step 2: Convert to fraction form
    763,492,646.25/1,167,426,085.50 = 1,167,426,085.50/x
  3. Step 3: Cross multiply
    763,492,646.25x = 1,167,426,085.50 × 1,167,426,085.50
  4. Step 4: Simplify right side
    763,492,646.25x = 1,362,883,665,105,853,184
  5. Step 5: Solve for x
    x = 1,362,883,665,105,853,184/763,492,646.25
  6. Step 6: Final answer
    x = 1,785,064,560.61

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.