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Finding the Third Proportional to 502,349,547,294 and 772,147,270,701

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Solution

The third proportional to 502,349,547,294 and 772,147,270,701 is: 1,186,845,715,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,349,547,294 : 772,147,270,701 = 772,147,270,701 : x
  2. Step 2: Convert to fraction form
    502,349,547,294/772,147,270,701 = 772,147,270,701/x
  3. Step 3: Cross multiply
    502,349,547,294x = 772,147,270,701 × 772,147,270,701
  4. Step 4: Simplify right side
    502,349,547,294x = 596,211,407,651,003,367,948,288
  5. Step 5: Solve for x
    x = 596,211,407,651,003,367,948,288/502,349,547,294
  6. Step 6: Final answer
    x = 1,186,845,715,025.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.