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Finding the Third Proportional to 458,767,988,768 and 719,671,602,333

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Solution

The third proportional to 458,767,988,768 and 719,671,602,333 is: 1,128,952,385,268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,767,988,768 : 719,671,602,333 = 719,671,602,333 : x
  2. Step 2: Convert to fraction form
    458,767,988,768/719,671,602,333 = 719,671,602,333/x
  3. Step 3: Cross multiply
    458,767,988,768x = 719,671,602,333 × 719,671,602,333
  4. Step 4: Simplify right side
    458,767,988,768x = 517,927,215,204,547,700,981,760
  5. Step 5: Solve for x
    x = 517,927,215,204,547,700,981,760/458,767,988,768
  6. Step 6: Final answer
    x = 1,128,952,385,268.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.