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Finding the Third Proportional to 9,064,430,948 and 19,506,356,776

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Solution

The third proportional to 9,064,430,948 and 19,506,356,776 is: 41,977,037,152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064,430,948 : 19,506,356,776 = 19,506,356,776 : x
  2. Step 2: Convert to fraction form
    9,064,430,948/19,506,356,776 = 19,506,356,776/x
  3. Step 3: Cross multiply
    9,064,430,948x = 19,506,356,776 × 19,506,356,776
  4. Step 4: Simplify right side
    9,064,430,948x = 380,497,954,672,601,137,152
  5. Step 5: Solve for x
    x = 380,497,954,672,601,137,152/9,064,430,948
  6. Step 6: Final answer
    x = 41,977,037,152.74

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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.