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Finding the Third Proportional to 763,492,641.75 and 1,167,426,077.63

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Solution

The third proportional to 763,492,641.75 and 1,167,426,077.63 is: 1,785,064,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,492,641.75 : 1,167,426,077.63 = 1,167,426,077.63 : x
  2. Step 2: Convert to fraction form
    763,492,641.75/1,167,426,077.63 = 1,167,426,077.63/x
  3. Step 3: Cross multiply
    763,492,641.75x = 1,167,426,077.63 × 1,167,426,077.63
  4. Step 4: Simplify right side
    763,492,641.75x = 1,362,883,646,718,892,544
  5. Step 5: Solve for x
    x = 1,362,883,646,718,892,544/763,492,641.75
  6. Step 6: Final answer
    x = 1,785,064,547.05

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Why These Related Problems?

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