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Finding the Third Proportional to 1,328,564,358 and 2,854,291,941

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Solution

The third proportional to 1,328,564,358 and 2,854,291,941 is: 6,132,169,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,564,358 : 2,854,291,941 = 2,854,291,941 : x
  2. Step 2: Convert to fraction form
    1,328,564,358/2,854,291,941 = 2,854,291,941/x
  3. Step 3: Cross multiply
    1,328,564,358x = 2,854,291,941 × 2,854,291,941
  4. Step 4: Simplify right side
    1,328,564,358x = 8,146,982,484,457,547,776
  5. Step 5: Solve for x
    x = 8,146,982,484,457,547,776/1,328,564,358
  6. Step 6: Final answer
    x = 6,132,169,988.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.